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56806752 = 253719823
BaseRepresentation
bin1101100010110…
…0110101100000
310221220002012210
43120230311200
5104020304002
65345322120
71256564232
oct330546540
9127802183
1056806752
112a07a832
1217036340
13b9cc682
14778a252
154ec196c
hex362cd60

56806752 has 48 divisors (see below), whose sum is σ = 149506560. Its totient is φ = 18886272.

The previous prime is 56806733. The next prime is 56806753. The reversal of 56806752 is 25760865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56806752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56806753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68613 + ... + 69435.

It is an arithmetic number, because the mean of its divisors is an integer number (3114720).

Almost surely, 256806752 is an apocalyptic number.

It is an amenable number.

56806752 is an abundant number, since it is smaller than the sum of its proper divisors (92699808).

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

56806752 is a wasteful number, since it uses less digits than its factorization.

56806752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 56806752 is about 7537.0254079444. The cubic root of 56806752 is about 384.4146995548.

The spelling of 56806752 in words is "fifty-six million, eight hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 719 823 1438 1646 2157 2469 2876 3292 4314 4938 5752 6584 8628 9876 11504 13168 17256 19752 23008 26336 34512 39504 69024 79008 591737 1183474 1775211 2366948 3550422 4733896 7100844 9467792 14201688 18935584 28403376 56806752