58 (number)

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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 seventeenth discrete bi-prime and the ninth in the (2.q) family. With 57 it forms the fourth discrete bi-prime pair. 58 has an aliquot sum of 32 and is the second composite member of the 31-aliquot tree.

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

[edit] In music

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

[edit] In sports

In the NBA, the most points ever scored in a fourth quarter was 58 by the Buffalo Braves (at Boston Celtics), Oct. 20, 1972. The Most points in a game by a rookie player: Wilt Chamberlain, 58: Philadelphia vs. Detroit, Jan. 25, 1960, and Philadelphia. vs. New York Knicks, Feb. 21, 1960

In Major League Baseball, the Philadelphia Phillies' Ryan Howard had 58 home runs in 2006, making him the NL's Most Valuable Player for 2006. The Dodgers' Don Drysdale had 58 consecutive shutout innings, May-June 1968.

Jersey number of Oakland Athletics pitcher Justin Duchscherer

Jersey number of Pittsburgh Penguins forward Kris Letang

Jersey number of Boston Red Sox pitcher Jonathan Papelbon

Jersey number of Detroit Tigers rookie pitcher Armando Galarraga

[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.

[edit] Historical years

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