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88669008 = 243217291249
BaseRepresentation
bin1010100100011…
…11101101010000
320011211212000100
411102033231100
5140144402013
612444252400
72124450141
oct522175520
9204755010
1088669008
114606237a
1225841100
13154a718c
14bac1ac8
157bb7473
hex548fb50

88669008 has 120 divisors (see below), whose sum is σ = 272025000. Its totient is φ = 26836992.

The previous prime is 88669001. The next prime is 88669039. The reversal of 88669008 is 80096688.

It can be written as a sum of positive squares in 4 ways, for example, as 20903184 + 67765824 = 4572^2 + 8232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88669001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70368 + ... + 71616.

It is an arithmetic number, because the mean of its divisors is an integer number (2266875).

Almost surely, 288669008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88669008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136012500).

88669008 is an abundant number, since it is smaller than the sum of its proper divisors (183355992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88669008 is a wasteful number, since it uses less digits than its factorization.

88669008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 88669008 is about 9416.4222505153. The cubic root of 88669008 is about 445.9203407638.

The spelling of 88669008 in words is "eighty-eight million, six hundred sixty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 34 36 48 51 58 68 72 87 102 116 136 144 153 174 204 232 261 272 306 348 408 464 493 522 612 696 816 986 1044 1224 1249 1392 1479 1972 2088 2448 2498 2958 3747 3944 4176 4437 4996 5916 7494 7888 8874 9992 11241 11832 14988 17748 19984 21233 22482 23664 29976 35496 36221 42466 44964 59952 63699 70992 72442 84932 89928 108663 127398 144884 169864 179856 191097 217326 254796 289768 325989 339728 382194 434652 509592 579536 615757 651978 764388 869304 1019184 1231514 1303956 1528776 1738608 1847271 2463028 2607912 3057552 3694542 4926056 5215824 5541813 7389084 9852112 11083626 14778168 22167252 29556336 44334504 88669008