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86283912 = 233111331811
BaseRepresentation
bin1010010010010…
…01011010001000
320000100200021110
411021021122020
5134042041122
612321210320
72065254411
oct511113210
9200320243
1086283912
1144783420
1224a909a0
1314b50690
14b660808
15789590c
hex5249688

86283912 has 128 divisors (see below), whose sum is σ = 261918720. Its totient is φ = 23328000.

The previous prime is 86283893. The next prime is 86283937. The reversal of 86283912 is 21938268.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105987 + ... + 106797.

It is an arithmetic number, because the mean of its divisors is an integer number (2046240).

Almost surely, 286283912 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 86283912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130959360).

86283912 is an abundant number, since it is smaller than the sum of its proper divisors (175634808).

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

86283912 is a wasteful number, since it uses less digits than its factorization.

86283912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 871 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 86283912 is about 9288.9133917805. The cubic root of 86283912 is about 441.8856948677.

The spelling of 86283912 in words is "eighty-six million, two hundred eighty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 811 858 1023 1144 1209 1364 1612 1622 1716 2046 2418 2433 2728 3224 3244 3432 4092 4433 4836 4866 6488 8184 8866 8921 9672 9732 10543 13299 17732 17842 19464 21086 25141 26598 26763 31629 35464 35684 42172 50282 53196 53526 63258 71368 75423 84344 100564 106392 107052 115973 126516 150846 201128 214104 231946 253032 276551 301692 326833 347919 463892 553102 603384 653666 695838 829653 927784 980499 1106204 1307332 1391676 1659306 1960998 2212408 2614664 2783352 3318612 3595163 3921996 6637224 7190326 7843992 10785489 14380652 21570978 28761304 43141956 86283912