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56828016 = 2432756377
BaseRepresentation
bin1101100011001…
…0000001110000
310221221011101100
43120302001300
5104021444031
65350004400
71260013230
oct330620160
9127834340
1056828016
112a094803
1217046700
13ba0925b
147793cc0
154ec7de6
hex3632070

56828016 has 60 divisors (see below), whose sum is σ = 181762672. Its totient is φ = 16236288.

The previous prime is 56827961. The next prime is 56828017. The reversal of 56828016 is 61082865.

It is a happy number.

56828016 is a `hidden beast` number, since 568 + 2 + 80 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56828017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27181 + ... + 29196.

Almost surely, 256828016 is an apocalyptic number.

56828016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56828016 is an abundant number, since it is smaller than the sum of its proper divisors (124934656).

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

56828016 is a wasteful number, since it uses less digits than its factorization.

56828016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56398 (or 56389 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 56828016 is about 7538.4359120444. The cubic root of 56828016 is about 384.4626584926.

The spelling of 56828016 in words is "fifty-six million, eight hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 56377 112754 169131 225508 338262 394639 451016 507393 676524 789278 902032 1014786 1183917 1353048 1578556 2029572 2367834 2706096 3157112 3551751 4059144 4735668 6314224 7103502 8118288 9471336 14207004 18942672 28414008 56828016