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85633692 = 223172318251
BaseRepresentation
bin1010001101010…
…10101010011100
312222010122100020
411012222222130
5133410234232
612255232140
72056605624
oct506525234
9188118306
1085633692
1144379951
1224818650
1314983731
14b531884
1577b7e2c
hex51aaa9c

85633692 has 48 divisors (see below), whose sum is σ = 220776192. Its totient is φ = 25696000.

The previous prime is 85633679. The next prime is 85633697. The reversal of 85633692 is 29633658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85633697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4434 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (4599504).

Almost surely, 285633692 is an apocalyptic number.

It is an amenable number.

85633692 is an abundant number, since it is smaller than the sum of its proper divisors (135142500).

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

85633692 is a wasteful number, since it uses less digits than its factorization.

85633692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18298 (or 18296 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 85633692 is about 9253.8474160751. The cubic root of 85633692 is about 440.7729046051.

The spelling of 85633692 in words is "eighty-five million, six hundred thirty-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 18251 36502 54753 73004 109506 219012 310267 419773 620534 839546 930801 1241068 1259319 1679092 1861602 2518638 3723204 5037276 7136141 14272282 21408423 28544564 42816846 85633692