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56012560 = 2454117077
BaseRepresentation
bin1101010110101…
…0111100010000
310220101201210021
43111222330100
5103314400220
65320313224
71250045632
oct325527420
9126351707
1056012560
112968807a
1216912814
13b7b2036
147620a52
154db64aa
hex356af10

56012560 has 40 divisors (see below), whose sum is σ = 133413336. Its totient is φ = 21857280.

The previous prime is 56012549. The next prime is 56012563. The reversal of 56012560 is 6521065.

56012560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 56010256 = 48^2 + 7484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (56012563) by changing a digit.

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, 5259 + ... + 11818.

Almost surely, 256012560 is an apocalyptic number.

It is an amenable number.

56012560 is an abundant number, since it is smaller than the sum of its proper divisors (77400776).

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

56012560 is a wasteful number, since it uses less digits than its factorization.

56012560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17131 (or 17125 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 56012560 is about 7484.1539267976. The cubic root of 56012560 is about 382.6148372921.

The spelling of 56012560 in words is "fifty-six million, twelve thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 17077 34154 68308 85385 136616 170770 273232 341540 683080 700157 1366160 1400314 2800628 3500785 5601256 7001570 11202512 14003140 28006280 56012560