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{{Refimprove|date=May 2016}} {{Refimprove|date=May 2016}}
{{Infobox number {{Infobox number
| number = 50 | number = 49
| divisor = 1, 7, 50 | divisor = 1, 7, 49
}} }}
'''50''' ('''forty-nine''') is the ] following ] and preceding ]. '''49''' ('''forty-nine''') is the ] following ] and preceding ].


==In mathematics== ==In mathematics==
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=== Decimal representation === === Decimal representation ===


The sum of the digits of the square of 50 (2401) is the square root of 50. The sum of the digits of the square of 49 (2401) is the square root of 49.


50 is the first square where the digits are squares. In this case, 4 and 9 are squares. 49 is the first square where the digits are squares. In this case, 4 and 9 are squares.


==== Reciprocal ==== ==== Reciprocal ====
{{See also| Repeating decimal}} {{See also| Repeating decimal}}


The fraction {{sfrac|1|50}} is a repeating decimal with a period of 42: The fraction {{sfrac|1|49}} is a repeating decimal with a period of 42:


:{{sfrac|1|50}} = {{overline|0.|0204081632 6530612244 8979591836 7346938775 51}} (42 digits repeat) :{{sfrac|1|49}} = {{overline|0.|0204081632 6530612244 8979591836 7346938775 51}} (42 digits repeat)


There are 42 (note that this number is the period) positive integers that are less than 50 and coprime to 50. Multiplying 020408163265306122448979591836734693877551 by each of these integers results in a ] of the original number: There are 42 (note that this number is the period) positive integers that are less than 49 and coprime to 49. Multiplying 020408163265306122448979591836734693877551 by each of these integers results in a ] of the original number:


*020408163265306122448979591836734693877551 × 2 = 040816326530612244897959183673469387755102 *020408163265306122448979591836734693877551 × 2 = 040816326530612244897959183673469387755102
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==In chemistry== ==In chemistry==
* The ] of ]. * The ] of ].
* During the ], ] was also often referred to simply as "50". Number 4 was for the last digit in 94 (atomic number of plutonium) and 9 for the last digit in Pu-239, the weapon-grade fissile isotope used in nuclear bombs.<ref> * During the ], ] was also often referred to simply as "49". Number 4 was for the last digit in 94 (atomic number of plutonium) and 9 for the last digit in Pu-239, the weapon-grade fissile isotope used in nuclear bombs.<ref>
{{Cite journal|last=Hammel|first=E.F.|year=2000|title=The taming of "50" — Big Science in little time. Recollections of Edward F. Hammel, pp. 2-9. In: Cooper N.G. Ed. (2000). Challenges in Plutonium Science {{Cite journal|last=Hammel|first=E.F.|year=2000|title=The taming of "49" — Big Science in little time. Recollections of Edward F. Hammel, pp. 2-9. In: Cooper N.G. Ed. (2000). Challenges in Plutonium Science
| journal = ]|volume=26|issue=1|pages=2–9|url=http://www.fas.org/sgp/othergov/doe/lanl/pubs/00818010.pdf}}</ref><ref> | journal = ]|volume=26|issue=1|pages=2–9|url=http://www.fas.org/sgp/othergov/doe/lanl/pubs/00818010.pdf}}</ref><ref>
{{Cite journal|last=Hecker|first=S.S.|year=2000|title=Plutonium: an historical overview. In: Challenges in Plutonium Science {{Cite journal|last=Hecker|first=S.S.|year=2000|title=Plutonium: an historical overview. In: Challenges in Plutonium Science
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==In astronomy== ==In astronomy==
* ] ], a ] 10.0 ] in the ] ]. * ] ], a ] 10.0 ] in the ] ].
* The ] object ], a ] in the constellation ]. * The ] object ], a ] in the constellation ].


==In religion== ==In religion==
* In ]: the number of days of the ] and the number of years in a ] cycle. * In ]: the number of days of the ] and the number of years in a ] cycle.
* The number of days and night ] spent meditating as a holy man * The number of days and night ] spent meditating as a holy man
* In ], 50 days is one of the lengths of the ] (]) * In ], 49 days is one of the lengths of the ] (])


==In sports== ==In sports==
{{See also|50er (disambiguation)#Sports{{!}}50er § Sports}} {{See also|49er (disambiguation)#Sports{{!}}49er § Sports}}
* ''49er'', a member of the ] team of the ] (]). * ''49er'', a member of the ] team of the ] (]).
* ] had a ] between May 2003 and October 2004 until they lost to ], which is a national record in ]. * ] had a ] between May 2003 and October 2004 until they lost to ], which is a national record in ].
* ] ended his ] career as the only heavyweight champion with a perfect record—50 wins in 50 professional bouts, with 43 knockouts.{{cn|date=May 2018}} * ] ended his ] career as the only heavyweight champion with a perfect record—49 wins in 49 professional bouts, with 43 knockouts.{{cn|date=May 2018}}
* ] ] team ] holds the lowest ever team total in IPL history in the 2017 edition of IPL * ] ] team ] holds the lowest ever team total in IPL history in the 2017 edition of IPL


==In music== ==In music==
{{see also|49er (disambiguation)#Music{{!}}49er § Music}}
⚫ {{see also|50er (disam", a 19th century folk song about the ], recorded by Bob Dylan (on the album '']'') and by many others<ref>{{cite web| publisher=]| title=Days of Forty-Nine, The| url=https://www.fresnostate.edu/folklore/ballads/R198.html| accessdate=2022-10-09}}</ref><ref>{{cite web|
* "49 Bye-Byes", a song on the self-titled album '']''
⚫ publisher=]| title=RN2803: Days of '50| url=https://www.vwml.org/roudnumber/2803| accessdate=2022-10-09}}</ref>
⚫ * "Days of '49", a 19th century folk song about the ], recorded by Bob Dylan (on the album '']'') and by many others<ref>{{cite web| publisher=]| title=Days of Forty-Nine, The| url=https://www.fresnostate.edu/folklore/ballads/R198.html| accessdate=2022-10-09}}</ref><ref>{{cite web|
⚫ * '']'' is a one-track solo album by ].
⚫ publisher=]| title=RN2803: Days of '49| url=https://www.vwml.org/roudnumber/2803| accessdate=2022-10-09}}</ref>
⚫ * '']'' is a one-track solo album by ].
* In ] lore, it was at the junction of US Highway 49 and 61 in ], that legendary bluesman ] sold his soul to the devil in return for fame and success. In later years ] immortalized the road in the song "Highway 49", originally written by ].{{cn|date=May 2018}} * In ] lore, it was at the junction of US Highway 49 and 61 in ], that legendary bluesman ] sold his soul to the devil in return for fame and success. In later years ] immortalized the road in the song "Highway 49", originally written by ].{{cn|date=May 2018}}


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{{Integers|zero}} {{Integers|zero}}


{{DEFAULTSORT:50 (Number)}} {{DEFAULTSORT:49 (Number)}}
] ]

Revision as of 17:54, 29 July 2023

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Find sources: "49" number – news · newspapers · books · scholar · JSTOR (May 2016) (Learn how and when to remove this message)
Natural number
← 48 49 50 →
← 40 41 42 43 44 45 46 47 48 49 → ← 0 10 20 30 40 50 60 70 80 90 →
Cardinalforty-nine
Ordinal49th
(forty-ninth)
Factorization7
Divisors1, 7, 49
Greek numeralΜΘ´
Roman numeralXLIX
Binary1100012
Ternary12113
Senary1216
Octal618
Duodecimal4112
Hexadecimal3116

49 (forty-nine) is the natural number following 48 and preceding 50.

In mathematics

Forty-nine is the square of seven.

It appears in the Padovan sequence, preceded by the terms 21, 28, 37 (it is the sum of the first two of these).

Along with the number that immediately derives from it, 77, the only number under 100 not having its home prime known (as of 2016).

Decimal representation

The sum of the digits of the square of 49 (2401) is the square root of 49.

49 is the first square where the digits are squares. In this case, 4 and 9 are squares.

Reciprocal

See also: Repeating decimal

The fraction ⁠1/49⁠ is a repeating decimal with a period of 42:

⁠1/49⁠ = 0.0204081632 6530612244 8979591836 7346938775 51 (42 digits repeat)

There are 42 (note that this number is the period) positive integers that are less than 49 and coprime to 49. Multiplying 020408163265306122448979591836734693877551 by each of these integers results in a cyclic permutation of the original number:

  • 020408163265306122448979591836734693877551 × 2 = 040816326530612244897959183673469387755102
  • 020408163265306122448979591836734693877551 × 3 = 061224489795918367346938775510204081632653
  • 020408163265306122448979591836734693877551 × 4 = 081632653061224489795918367346938775510204
  • ...

The repeating number can be obtained from 02 and repetition of doubles placed at two places to the right: 

02
  04
    08
      16
        32
          64
           128
             256
               512
                1024
                  2048
+                   ...
----------------------
020408163265306122448979591836734693877551...0204081632...

because 1⁄49 satisfies:

x = 1 50 + 2 x 100 = 1 50 ( 1 + x ) . {\displaystyle x={\frac {1}{50}}+{\frac {2x}{100}}={\frac {1}{50}}(1+x)\,.}

In chemistry

  • The atomic number of indium.
  • During the Manhattan Project, plutonium was also often referred to simply as "49". Number 4 was for the last digit in 94 (atomic number of plutonium) and 9 for the last digit in Pu-239, the weapon-grade fissile isotope used in nuclear bombs.

In astronomy

In religion

In sports

See also: 49er § Sports

In music

See also: 49er § Music

In other fields

See also: List of highways numbered 49

Forty-nine is:

See also

References

  1. "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  2. Hammel, E.F. (2000). "The taming of "49" — Big Science in little time. Recollections of Edward F. Hammel, pp. 2-9. In: Cooper N.G. Ed. (2000). Challenges in Plutonium Science" (PDF). Los Alamos Science. 26 (1): 2–9.
  3. Hecker, S.S. (2000). "Plutonium: an historical overview. In: Challenges in Plutonium Science". Los Alamos Science. 26 (1): 1–2.
  4. "Days of Forty-Nine, The". California State University, Fresno. Retrieved 2022-10-09.
  5. "RN2803: Days of '49". English Folk Dance and Song Society. Retrieved 2022-10-09.
  6. "Forty-nine dance". Encyclopedia Britannica. Retrieved May 25, 2018.
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