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85812696 = 2334151877
BaseRepresentation
bin1010001110101…
…10010111011000
312222110201220000
411013112113120
5133432001241
612303133000
72061252534
oct507262730
9188421800
1085812696
1144491392
12248a4160
1314a17058
14b57abc4
157800eb6
hex51d65d8

85812696 has 80 divisors (see below), whose sum is σ = 242222640. Its totient is φ = 28382400.

The previous prime is 85812691. The next prime is 85812697. The reversal of 85812696 is 69621858.

85812696 is a `hidden beast` number, since 8 + 581 + 2 + 69 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85812691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97410 + ... + 98286.

It is an arithmetic number, because the mean of its divisors is an integer number (3027783).

Almost surely, 285812696 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 85812696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121111320).

85812696 is an abundant number, since it is smaller than the sum of its proper divisors (156409944).

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

85812696 is a wasteful number, since it uses less digits than its factorization.

85812696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1033 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 85812696 is about 9263.5142359690. The cubic root of 85812696 is about 441.0798134038.

The spelling of 85812696 in words is "eighty-five million, eight hundred twelve thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 151 162 216 302 324 453 604 648 877 906 1208 1359 1754 1812 2631 2718 3508 3624 4077 5262 5436 7016 7893 8154 10524 10872 12231 15786 16308 21048 23679 24462 31572 32616 47358 48924 63144 71037 94716 97848 132427 142074 189432 264854 284148 397281 529708 568296 794562 1059416 1191843 1589124 2383686 3178248 3575529 4767372 7151058 9534744 10726587 14302116 21453174 28604232 42906348 85812696