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46 (number)

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46
Cardinal forty-six
Ordinal 46th
(forty-sixth)
Factorization  2 \cdot 23
Divisors 1, 2, 23, 46
Roman numeral XLVI
Binary 1011102
Octal 568
Duodecimal 3A12
Hexadecimal 2E16

46 (forty-six) is the natural number following 45 and preceding 47.

Contents

[edit] In mathematics

Forty-six is a Wedderburn-Etherington number, an enneagonal number and a centered triangular number. It is the sum of the totient function for the first twelve integers. 46 is the largest even integer that can't be expressed as a sum of two abundant numbers.

46 is the 13th semiprime. 46 is the third semiprime with a semiprime aliquot sum. The aliquot sequence of 46 is (46,26,16,15,9,4,3,1,0).

Since it is possible to find sequences of 46 consecutive integers such that each inner member shares a factor with either the first or the last member, 46 is an Erdős–Woods number.

[edit] In science

[edit] Astronomy

  • The Saros number of the solar eclipse series which began on April 1, 1371 BC and ended on May 8, 91 BC. The duration of Saros series 46 was 1280.1 years, and it contained 72 solar eclipses.
  • The Saros number of the lunar eclipse series which began on July 19, 1358 BC and ended on October 8, 12. The duration of Saros series 46 was 1370.5 years, and it contained 77 lunar eclipses.

[edit] In religion

[edit] In sports

  • The number of mountains in the 46 peaks of the Adirondack mountain range. People who have climbed all of them are called "forty-sixers"; there is also an unofficial 47th peak.
  • Valentino Rossi, one of the greatest motorcycle rider of all time, uses 46 as his number in the MotoGP motorcycle world championship, and has been using this number in homage to his father since he started racing as a youngster.
  • The name of a defensive scheme used in American football; see 46 defense.

[edit] In other fields

Forty-six is also:

  • The code for international direct dial phone calls to Sweden.
  • The number of samurai, out of 47, who carried out the attack in the historical Ako vendetta; sometimes referred to as the 46 Ronins to discount the one samurai forced to turn back.
  • In the title of the movie Code 46, starring Tim Robbins and Samantha Morton.
  • Several routes numbered 46 exist throughout the world.
  • Because 46 in Japanese can be pronounced as "yon roku", and "yoroshiku"(よろしく) means "my best regards" in Japanese, people sometimes use 46 for greeting.
  • 46 is the number of the City Chevrolet and Superflo cars driven by Cole Trickle in the movie Days of Thunder.
  • The number of the French department Lot.

At age 46:

[edit] Historical years

46 A.D., 46 B.C., 1946, 2046, etc.

[edit] References

  1. ^ Barbara J. Trask, "Human genetics and disease: Human cytogenetics: 46 chromosomes, 46 years and counting" Nature Reviews Genetics 3 (2002): 769. "Human cytogenetics was born in 1956 with the fundamental, but empowering, discovery that normal human cells contain 46 chromosomes."
  2. ^ Baker, Peter and Michael Lapidge (1995) Byrhtferth's Enchiridion. Oxford: OUP for The Early English Text Society, p.201
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