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86765256 = 2334257521
BaseRepresentation
bin1010010101111…
…10111011001000
320001021010120000
411022332323020
5134202442011
612335403000
72102330634
oct512767310
9201233500
1086765256
1144a82026
1225083460
1314c8b7b6
14b747dc4
15793d356
hex52beec8

86765256 has 80 divisors (see below), whose sum is σ = 244436940. Its totient is φ = 28753920.

The previous prime is 86765227. The next prime is 86765279. The reversal of 86765256 is 65256768.

It can be written as a sum of positive squares in 2 ways, for example, as 82628100 + 4137156 = 9090^2 + 2034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 166276 + ... + 166796.

Almost surely, 286765256 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 86765256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122218470).

86765256 is an abundant number, since it is smaller than the sum of its proper divisors (157671684).

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

86765256 is a wasteful number, since it uses less digits than its factorization.

86765256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 783 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 86765256 is about 9314.7869540854. The cubic root of 86765256 is about 442.7058737511.

The spelling of 86765256 in words is "eighty-six million, seven hundred sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 257 324 514 521 648 771 1028 1042 1542 1563 2056 2084 2313 3084 3126 4168 4626 4689 6168 6252 6939 9252 9378 12504 13878 14067 18504 18756 20817 27756 28134 37512 41634 42201 55512 56268 83268 84402 112536 133897 166536 168804 267794 337608 401691 535588 803382 1071176 1205073 1606764 2410146 3213528 3615219 4820292 7230438 9640584 10845657 14460876 21691314 28921752 43382628 86765256