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86917056 = 2631731859
BaseRepresentation
bin1010010111000…
…11111111000000
320001112211210020
411023203333000
5134222321211
612342533440
72103532332
oct513437700
9201484706
1086917056
1145076086
1225137280
1315012915
14b787452
15796d306
hex52e3fc0

86917056 has 112 divisors (see below), whose sum is σ = 251642880. Its totient is φ = 26357760.

The previous prime is 86917027. The next prime is 86917079. The reversal of 86917056 is 65071968.

It is a junction number, because it is equal to n+sod(n) for n = 86916999 and 86917017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100755 + ... + 101613.

Almost surely, 286917056 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 86917056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125821440).

86917056 is an abundant number, since it is smaller than the sum of its proper divisors (164725824).

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

86917056 is a wasteful number, since it uses less digits than its factorization.

86917056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 86917056 is about 9322.9317277346. The cubic root of 86917056 is about 442.9639017579.

The spelling of 86917056 in words is "eighty-six million, nine hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 744 816 859 992 1054 1088 1488 1581 1632 1718 1984 2108 2577 2976 3162 3264 3436 4216 5154 5952 6324 6872 8432 10308 12648 13744 14603 16864 20616 25296 26629 27488 29206 33728 41232 43809 50592 53258 54976 58412 79887 82464 87618 101184 106516 116824 159774 164928 175236 213032 233648 319548 350472 426064 452693 467296 639096 700944 852128 905386 934592 1278192 1358079 1401888 1704256 1810772 2556384 2716158 2803776 3621544 5112768 5432316 7243088 10864632 14486176 21729264 28972352 43458528 86917056