Tuesday, February 1, 2011

162

162 = 2 x 34.

162 is the only number with a prime factorization of the form n * (n + 1)(nn).

162 has a representation as a sum of two squares: 162 = 92 + 92.

162 is the smallest number with nine representations as a sum of four positive squares: 162 = 12 + 12 + 42 + 122 = 12 + 22 + 62 + 112 = 12 + 42 + 82 + 92 = 12 + 52 + 62 + 102 = 22 + 32 + 72 + 102 = 32 + 42 + 42 + 112 = 32 + 52 + 82 + 82 = 32 + 62 + 62 + 92 = 42 + 42 + 72 + 92.

162 is a divisor of 553 - 1.

162 is an abundant number.

The digit sum of 162 is 9; the digit sum of the square of 162 is 18, and the digit sum of the cube of 162 is 27.

162 is the total number of baseball games each team plays during a regular season of Major League Baseball.

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