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88960896 = 273325741
BaseRepresentation
bin1010100110101…
…10111110000000
320012101200102000
411103112332000
5140233222041
612454424000
72130104133
oct523267600
9205350360
1088960896
1146241702
1225962000
1315579cab
14bb5a21a
157c23bb6
hex54d6f80

88960896 has 64 divisors (see below), whose sum is σ = 262568400. Its totient is φ = 29652480.

The previous prime is 88960891. The next prime is 88960903. The reversal of 88960896 is 69806988.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88960891) 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 7 ways as a sum of consecutive naturals, for example, 9415 + ... + 16326.

Almost surely, 288960896 is an apocalyptic number.

It is an amenable number.

88960896 is an abundant number, since it is smaller than the sum of its proper divisors (173607504).

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

88960896 is a wasteful number, since it uses less digits than its factorization.

88960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25764 (or 25746 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 88960896 is about 9431.9083965017. The cubic root of 88960896 is about 446.4091106939.

The spelling of 88960896 in words is "eighty-eight million, nine hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 25741 51482 77223 102964 154446 205928 231669 308892 411856 463338 617784 695007 823712 926676 1235568 1390014 1647424 1853352 2471136 2780028 3294848 3706704 4942272 5560056 7413408 9884544 11120112 14826816 22240224 29653632 44480448 88960896