46 (number)

From Wikipedia, the free encyclopedia

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

Cardinal 46
forty-six
Ordinal 46th
forty-sixth
Factorization 2\cdot 23
Divisors 1, 2, 23, 46
Roman numeral XLVI
Binary 101110
Hexadecimal 2E

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 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 -1371 April 1 and ended on -91 May 8. 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 -1358 July 19 and ended on 12 October 8. The duration of Saros series 46 was 1370.5 years, and it contained 77 lunar eclipses.

[edit] In religion

[edit] In sports

[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.

At age 46:

[edit] Historical years

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