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86693256 = 233213234027
BaseRepresentation
bin1010010101011…
…01010110001000
320001010110210100
411022231112020
5134143141011
612334045400
72101611006
oct512552610
9201113710
1086693256
1144a32a21
1225049860
1314c64ab0
14b729a76
157926d56
hex52ad588

86693256 has 96 divisors (see below), whose sum is σ = 263914560. Its totient is φ = 25508736.

The previous prime is 86693237. The next prime is 86693273. The reversal of 86693256 is 65239668.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19515 + ... + 23541.

It is an arithmetic number, because the mean of its divisors is an integer number (2749110).

Almost surely, 286693256 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 86693256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131957280).

86693256 is an abundant number, since it is smaller than the sum of its proper divisors (177221304).

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

86693256 is a wasteful number, since it uses less digits than its factorization.

86693256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4068 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 86693256 is about 9310.9213292778. The cubic root of 86693256 is about 442.5833836927.

The spelling of 86693256 in words is "eighty-six million, six hundred ninety-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3588 4027 5382 7176 8054 10764 12081 16108 21528 24162 32216 36243 48324 52351 72486 92621 96648 104702 144972 157053 185242 209404 277863 289944 314106 370484 418808 471159 555726 628212 740968 833589 942318 1111452 1204073 1256424 1667178 1884636 2222904 2408146 3334356 3612219 3769272 4816292 6668712 7224438 9632584 10836657 14448876 21673314 28897752 43346628 86693256