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56942016 = 2631571889
BaseRepresentation
bin1101100100110…
…1110111000000
310222010221202120
43121031313000
5104034121031
65352244240
71260666465
oct331156700
9128127676
1056942016
112a16241a
12170a0680
13ba49101
1477c366c
154eeba96
hex364ddc0

56942016 has 56 divisors (see below), whose sum is σ = 151698960. Its totient is φ = 18849792.

The previous prime is 56941999. The next prime is 56942023. The reversal of 56942016 is 61024965.

56942016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×569420162 = 6484786372288512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 29200 + ... + 31088.

It is an arithmetic number, because the mean of its divisors is an integer number (2708910).

Almost surely, 256942016 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 56942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75849480).

56942016 is an abundant number, since it is smaller than the sum of its proper divisors (94756944).

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

56942016 is a wasteful number, since it uses less digits than its factorization.

56942016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 56942016 is about 7545.9933739701. The cubic root of 56942016 is about 384.7195709053.

The spelling of 56942016 in words is "fifty-six million, nine hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 1889 2512 3768 3778 5024 5667 7536 7556 10048 11334 15072 15112 22668 30144 30224 45336 60448 90672 120896 181344 296573 362688 593146 889719 1186292 1779438 2372584 3558876 4745168 7117752 9490336 14235504 18980672 28471008 56942016