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58 (number) - Wikipedia, the free encyclopedia

58 (number)

From Wikipedia, the free encyclopedia

58 (fifty-eight) is the natural number following 57 and preceding 59.


Cardinal 58
fifty-eight
Ordinal 58th
fifty-eighth
Factorization 2\cdot 29
Divisors 1, 2, 29, 58
Roman numeral LVIII
Binary 111010
Octal 72
Hexadecimal 3A

Contents

[edit] In mathematics

Fifty-eight is the sum of the first seven prime numbers, an 11-gonal number, and a Smith number. Given 58, the Mertens function returns 0.

There is no answer to the equation x - φ(x) = 58, making 58 a noncototient. However, the sum of the totient function for the first thirteen integers is 58.

[edit] In science

[edit] Astronomy

  • The Saros number of the lunar eclipse series which began on -812 March 16 and ended on 486 May 4. The duration of Saros series 58 was 1298.1 years, and it contained 73 lunar eclipses.

[edit] Music

  • John Cage CD "Fifty-Eight"
  • Fifty-Eight Now Nine, a collection of songs by Esther Lee
  • Band "Spur 58"

[edit] Sports

  • NFL New York Giants Antonio Pierce wears #58


[edit] In other fields

  • The code for international direct dial phone calls to Venezuela
  • The number of usable cells on a Hexxagon game board
  • At age 58, Thomas Jefferson originated the custom of shaking hands with the President Previously people bowed to the President in 1801

[edit] Historical years

58 A.D., 58 B.C., 1958, 2058, etc.

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