Thursday, July 22, 2010

88

88 = 23 x 11.

88 has a unique representation as a sum of three squares: 88 = 42 + 62 + 62.

88 = 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13.

88 is the sixth number that stays the same when written upside down.

88 is the smallest number such that its square has all its digits twice: 882 = 7744.

A modern piano has 88 keys, 52 white and 36 black, spanning more than seven octaves.

88 is the number of constellations in the sky, as defined by the International Astronomical Union.

Source: Phillips, R. 1994. Numbers: Facts, Figures and Fiction. Cambridge University Press.

1 comment:

  1. Other representations of number 88:
    88 is a palindromic number
    88 is a number Kaprekar as 297^2=88209 -> 88 +209 = 297
    88 is heptagonal number, see A048919
    88 is automorphic number as 2*88^2 =15488 (termination).
    http://mathworld.wolfram.com/automorphicNumber
    88 is an untouchable number by the sum of its inability to aliquots
    see A005114
    88 can be represented as:
    88=2^2+2^2+4^2+8^2=2^3+2^3+2^3+4^3
    88=23^2-21^2=13^2-9^2
    Rafael Parra de Barcelona

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