46 (number)

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

← 45 46 47 →
← 40 41 42 43 44 45 46 47 48 49 → List of numbers Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	forty-six
Ordinal	th
Factorization	$2\cdot 23$
Divisors	1, 2, 23, 46
Greek numeral	ΜϚ´
Roman numeral	XLVI
Binary	1011102
Ternary	12013
Senary	1146
Octal	568
Duodecimal	3A12
Hexadecimal	2E16

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.

In science

• The atomic number of palladium.
• The number of human chromosomes.
• The (decimal) value of the ASCII code for the period (full stop).

Astronomy

• Messier object M46, a magnitude 6.5 open cluster in the constellation Puppis.

• The New General Catalogue object NGC 46, a star in the constellation Pisces.

• 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.

In sports

• Valentino Rossi, one of the greatest motorcycle riders 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 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.
• The name of a defensive scheme used in American football; see 46 defense.
• The number 46 is the number worn by Yankees pitcher Andy Pettitte.

In religion

• The total of books in the Old Testament, Catholic version, if the Book of Lamentations is counted as a book separate from the Book of Jeremiah
• The number corresponding to the word "ADAM" where A=1, D=4, M=40. (on the analogy of the numeric values of letters in ancient alphabets, such as Hebrew and Greek)

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:

• Ben Franklin conducted kite experiments, and discovered lightning is an electrical discharge.
• Scottish surgeon, James Baird, discovered hypnosis.
• Jack Nicklaus became oldest man ever to win golf's Masters.
• Alfred Eisenstaedt took his photo of a sailor sweeping up a girl in a kiss during the V-J day celebration in Times Square.
• Theodore Roosevelt was elected to a full term as President in 1904.
• John F. Kennedy was assassinated on November 22, 1963.

Historical years

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