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85457016 = 23325920117
BaseRepresentation
bin1010001011111…
…11100001111000
312221210122222200
411011333201320
5133334111031
612251350200
72055241551
oct505774170
9187718880
1085457016
1144269137
1224752360
13149211a8
14b4c7328
1577808e6
hex517f878

85457016 has 48 divisors (see below), whose sum is σ = 235380600. Its totient is φ = 28001472.

The previous prime is 85456963. The next prime is 85457017. The reversal of 85457016 is 61075458.

85457016 is a `hidden beast` number, since 85 + 4 + 570 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85457017) 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, 5811 + ... + 14306.

Almost surely, 285457016 is an apocalyptic number.

It is an amenable number.

85457016 is an abundant number, since it is smaller than the sum of its proper divisors (149923584).

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

85457016 is a wasteful number, since it uses less digits than its factorization.

85457016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20188 (or 20181 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85457016 is about 9244.2964037292. The cubic root of 85457016 is about 440.4695675702.

The spelling of 85457016 in words is "eighty-five million, four hundred fifty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 20117 40234 60351 80468 120702 160936 181053 241404 362106 482808 724212 1186903 1448424 2373806 3560709 4747612 7121418 9495224 10682127 14242836 21364254 28485672 42728508 85457016