Wednesday, June 5, 2013

588

588 = 2 x 2 x 3 x 7 x 7.

588 is the number of possible rook moves on a 7 x 7 chessboard.

588 is a Smith number (A006753); the sum of its digits is equal to the sum of the digits of its prime factors: 5 + 8 + 8 = 2 + 2 + 3 + 7 + 7 = 21.

588 is a composite number such that the cube root of the sum of the cubes of its prime factors is an integer (A134608): 23 + 23 + 33 + 73 + 73 = 729 = 93.

588 is a composite number divisible by the sum of its prime factors (21) (A046346).

588 is the number of ways of writing 30 as the sum of nine nonnegative cubes (A173682).


Source: What's Special About This Number?

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