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88317216 = 2534132621
BaseRepresentation
bin1010100001110…
…01110100100000
320011011222110000
411100321310200
5140102122331
612432540000
72121453411
oct520716440
9204158400
1088317216
1145942039
12256b1600
13153b3010
14ba2d808
157b480e6
hex5439d20

88317216 has 120 divisors (see below), whose sum is σ = 279825084. Its totient is φ = 27164160.

The previous prime is 88317199. The next prime is 88317221. The reversal of 88317216 is 61271388.

It can be written as a sum of positive squares in 2 ways, for example, as 88284816 + 32400 = 9396^2 + 180^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32386 + ... + 35006.

Almost surely, 288317216 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 88317216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139912542).

88317216 is an abundant number, since it is smaller than the sum of its proper divisors (191507868).

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

88317216 is a wasteful number, since it uses less digits than its factorization.

88317216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2639 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 88317216 is about 9397.7239797730. The cubic root of 88317216 is about 445.3298333198.

The spelling of 88317216 in words is "eighty-eight million, three hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2621 2808 3744 4212 5242 5616 7863 8424 10484 11232 15726 16848 20968 23589 31452 33696 34073 41936 47178 62904 68146 70767 83872 94356 102219 125808 136292 141534 188712 204438 212301 251616 272584 283068 306657 377424 408876 424602 545168 566136 613314 754848 817752 849204 919971 1090336 1132272 1226628 1635504 1698408 1839942 2264544 2453256 2759913 3271008 3396816 3679884 4906512 5519826 6793632 7359768 9813024 11039652 14719536 22079304 29439072 44158608 88317216