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85932816 = 2435933019
BaseRepresentation
bin1010001111100…
…11101100010000
312222200211122220
411013303230100
5133444322231
612305501040
72062262664
oct507635420
9188624586
1085932816
1144563662
1224941780
1314a59928
14b5ac8a4
157826896
hex51f3b10

85932816 has 40 divisors (see below), whose sum is σ = 222441120. Its totient is φ = 28586496.

The previous prime is 85932811. The next prime is 85932817. The reversal of 85932816 is 61823958.

It is not an unprimeable number, because it can be changed into a prime (85932811) 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 7 ways as a sum of consecutive naturals, for example, 26955 + ... + 29973.

It is an arithmetic number, because the mean of its divisors is an integer number (5561028).

Almost surely, 285932816 is an apocalyptic number.

It is an amenable number.

85932816 is an abundant number, since it is smaller than the sum of its proper divisors (136508304).

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

85932816 is a wasteful number, since it uses less digits than its factorization.

85932816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3617 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 85932816 is about 9269.9954692546. The cubic root of 85932816 is about 441.2855242420.

The spelling of 85932816 in words is "eighty-five million, nine hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 593 1186 1779 2372 3019 3558 4744 6038 7116 9057 9488 12076 14232 18114 24152 28464 36228 48304 72456 144912 1790267 3580534 5370801 7161068 10741602 14322136 21483204 28644272 42966408 85932816