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88 Eighty-Eight LXXXVIII ii iii iiii iiiii iiiiii iiiiiii iiiiiiii iiiiiiiii iiiiiiiiii iiiiiiiiiii iiiiiiiiiiii iiiiiiiiiii Corresponding ordinal: eighty-eighth. The number 88 is the forty-fifth even number and the sixty-fourth composite number. It is the last in a block of five consecutive composite numbers: 84, 85, 86, 87, 88. As a product of primes: 88 = 23 11. The number 88 has eight divisors: 1, 2, 4, 8, 11, 22, 44, 88. The number 88 is the nineteenth abundant number: s(88) = 1+2+4+8+11+22+44 = 92 > 88. As a sum of four or fewer squares: 88 = 42 + 62 + 62 = 22 + 22 + 42 + 82 . As a sum of nine or fewer cubes: 88 = 2 13 + 4 23 + 2 33 = 3 23 + 43 . The number 88 appears in seven Pythagorean triples: [66; 88; 110] [88; 105; 137] [88; 480; 488] [88; 966; 970] The second and seventh are primitive. [88; 165; 187] [88; 234; 250] [88; 1935; 1937] As a sum of two odd primes: 88 = 5 + 83 = 17 + 71 = 29 + 59 = 41 + 47. The number 88 = 17 + 71 is the sum of a pair of emirps. The number 88 is the fourth untouchable number. The number 88 = 2 + 5 + 11 + 23 + 47 is the sum of the first Cunningham chain of the first kind: a sequence of primes, each of which is 1 more than twice the previous one. The number 882 = 7744 is the smallest square that contains each of its digits twice. There are 88 narcissistic numbers. These are the n-digit numbers that are equal to the sum of the nth powers of their. digits. The first few are 1, 2, 3, 4, 5, 6, 7, 8, 9 which are 2 Chapter 88 Eighty-Eight LXXXVIII trivially narcissistic. The next three are 153 = 13 + 53 + 33 , 370 = 33 + 73 + 03 , and 371 = 33 + 73 + 13 . The last one is 115; 132; 219; 018; 763; 992; 565; 095; 597; 973; 971; 522; 401. (Number Freak) There are 88 keys on a standard piano keyboard. The number 88 sometimes stands “Heil Hitler” because “H” is the eighth letter of the alphabet. The number 88 is an old amateur radio abbreviation for “love and kisses”. It takes Mercury 88 days to go around the Sun. There are 88 constellations according to the International Astronomical Union.