## 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: Anonymous said...

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