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85933932 = 22376715269
BaseRepresentation
bin1010001111100…
…11111101101100
312222200220012020
411013303331230
5133444341212
612305510140
72062266150
oct507637554
9188626166
1085933932
1144564487
1224942350
1314a5a2a6
14b5ad060
157826d8c
hex51f3f6c

85933932 has 48 divisors (see below), whose sum is σ = 232592640. Its totient is φ = 24184512.

The previous prime is 85933919. The next prime is 85933951. The reversal of 85933932 is 23933958.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007 + ... + 13262.

It is an arithmetic number, because the mean of its divisors is an integer number (4845680).

Almost surely, 285933932 is an apocalyptic number.

It is an amenable number.

85933932 is an abundant number, since it is smaller than the sum of its proper divisors (146658708).

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

85933932 is a wasteful number, since it uses less digits than its factorization.

85933932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15350 (or 15348 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 85933932 is about 9270.0556632633. The cubic root of 85933932 is about 441.2874345426.

The spelling of 85933932 in words is "eighty-five million, nine hundred thirty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5628 15269 30538 45807 61076 91614 106883 183228 213766 320649 427532 641298 1023023 1282596 2046046 3069069 4092092 6138138 7161161 12276276 14322322 21483483 28644644 42966966 85933932