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92016256 = 272113407
BaseRepresentation
bin1010111110000…
…00111010000000
320102010220120111
411133000322000
5142024010011
613044121104
72165060653
oct537007200
9212126514
1092016256
1147a391a2
1226996194
13160a98b7
14c31389a
158129121
hex57c0e80

92016256 has 32 divisors (see below), whose sum is σ = 184236480. Its totient is φ = 45776640.

The previous prime is 92016251. The next prime is 92016269. The reversal of 92016256 is 65261029.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (92016251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25305 + ... + 28711.

It is an arithmetic number, because the mean of its divisors is an integer number (5757390).

Almost surely, 292016256 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 92016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92118240).

92016256 is an abundant number, since it is smaller than the sum of its proper divisors (92220224).

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

92016256 is a wasteful number, since it uses less digits than its factorization.

92016256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 92016256 is about 9592.5104117744. The cubic root of 92016256 is about 451.4623308925.

The spelling of 92016256 in words is "ninety-two million, sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 211 422 844 1688 3376 3407 6752 6814 13504 13628 27008 27256 54512 109024 218048 436096 718877 1437754 2875508 5751016 11502032 23004064 46008128 92016256