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56006880 = 2535116681
BaseRepresentation
bin1101010110100…
…1100011100000
310220101102222220
43111221203200
5103314210010
65320231040
71250023236
oct325514340
9126342886
1056006880
1129683886
121690b480
13b7ac587
14761c956
154db4970
hex35698e0

56006880 has 48 divisors (see below), whose sum is σ = 176423184. Its totient is φ = 14935040.

The previous prime is 56006879. The next prime is 56006911. The reversal of 56006880 is 8860065.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57861 + ... + 58820.

It is an arithmetic number, because the mean of its divisors is an integer number (3675483).

Almost surely, 256006880 is an apocalyptic number.

It is an amenable number.

56006880 is an abundant number, since it is smaller than the sum of its proper divisors (120416304).

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

56006880 is a wasteful number, since it uses less digits than its factorization.

56006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116699 (or 116691 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 56006880 is about 7483.7744487658. The cubic root of 56006880 is about 382.6019037302.

The spelling of 56006880 in words is "fifty-six million, six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 116681 233362 350043 466724 583405 700086 933448 1166810 1400172 1750215 1866896 2333620 2800344 3500430 3733792 4667240 5600688 7000860 9334480 11201376 14001720 18668960 28003440 56006880