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86961256 = 23172291297
BaseRepresentation
bin1010010111011…
…10110001101000
320001122002102021
411023232301220
5134230230011
612343514224
72104105234
oct513566150
9201562367
1086961256
11450a6308
1225158974
1315029a85
14b7995c4
15797b471
hex52eec68

86961256 has 48 divisors (see below), whose sum is σ = 179318700. Its totient is φ = 39481344.

The previous prime is 86961253. The next prime is 86961257. The reversal of 86961256 is 65216968.

It can be written as a sum of positive squares in 6 ways, for example, as 85858756 + 1102500 = 9266^2 + 1050^2 .

It is not an unprimeable number, because it can be changed into a prime (86961253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66400 + ... + 67696.

Almost surely, 286961256 is an apocalyptic number.

It is an amenable number.

86961256 is an abundant number, since it is smaller than the sum of its proper divisors (92357444).

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

86961256 is a wasteful number, since it uses less digits than its factorization.

86961256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1345 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 86961256 is about 9325.3019254070. The cubic root of 86961256 is about 443.0389759625.

The spelling of 86961256 in words is "eighty-six million, nine hundred sixty-one thousand, two hundred fifty-six".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 289 493 578 986 1156 1297 1972 2312 2594 3944 5188 8381 10376 16762 22049 33524 37613 44098 67048 75226 88196 150452 176392 300904 374833 639421 749666 1278842 1499332 2557684 2998664 5115368 10870157 21740314 43480628 86961256