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89730864 = 24323120101
BaseRepresentation
bin1010101100100…
…10111100110000
320020211210121100
411112102330300
5140432341424
612523124400
72136462006
oct526227460
9206753540
1089730864
1146718143
1226073700
13157895b2
14bcbaa76
157d26dc9
hex5592f30

89730864 has 60 divisors (see below), whose sum is σ = 259235392. Its totient is φ = 28944000.

The previous prime is 89730857. The next prime is 89730869. The reversal of 89730864 is 46803798.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (89730869) 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 11 ways as a sum of consecutive naturals, for example, 5587 + ... + 14514.

Almost surely, 289730864 is an apocalyptic number.

It is an amenable number.

89730864 is an abundant number, since it is smaller than the sum of its proper divisors (169504528).

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

89730864 is a wasteful number, since it uses less digits than its factorization.

89730864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20146 (or 20137 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 89730864 is about 9472.6376474560. The cubic root of 89730864 is about 447.6933222124.

The spelling of 89730864 in words is "eighty-nine million, seven hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 20101 40202 60303 80404 120606 160808 180909 241212 321616 361818 482424 623131 723636 964848 1246262 1447272 1869393 2492524 2894544 3738786 4985048 5608179 7477572 9970096 11216358 14955144 22432716 29910288 44865432 89730864