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89691008 = 271125791
BaseRepresentation
bin1010101100010…
…01001110000000
320020202202221012
411112021032000
5140430103013
612522220052
72136234551
oct526111600
9206682835
1089691008
11466a0200
1226054628
1315774404
14bcaa328
157d1a1a8
hex5589380

89691008 has 48 divisors (see below), whose sum is σ = 196435680. Its totient is φ = 40761600.

The previous prime is 89690989. The next prime is 89691059. The reversal of 89691008 is 80019698.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12593 + ... + 18383.

It is an arithmetic number, because the mean of its divisors is an integer number (4092410).

Almost surely, 289691008 is an apocalyptic number.

89691008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89691008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98217840).

89691008 is an abundant number, since it is smaller than the sum of its proper divisors (106744672).

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

89691008 is a wasteful number, since it uses less digits than its factorization.

89691008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5827 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 89691008 is about 9470.5336702849. The cubic root of 89691008 is about 447.6270280124.

The spelling of 89691008 in words is "eighty-nine million, six hundred ninety-one thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 5791 7744 11582 15488 23164 46328 63701 92656 127402 185312 254804 370624 509608 700711 741248 1019216 1401422 2038432 2802844 4076864 5605688 8153728 11211376 22422752 44845504 89691008