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56696960 = 27588589
BaseRepresentation
bin1101100001001…
…0000010000000
310221200111121102
43120102002000
5104003300320
65343113532
71255626155
oct330220200
9127614542
1056696960
112a0052a1
1216ba28a8
13b9916c8
14775c22c
154e9e175
hex3612080

56696960 has 32 divisors (see below), whose sum is σ = 135542700. Its totient is φ = 22678528.

The previous prime is 56696953. The next prime is 56696963. The reversal of 56696960 is 6969665.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 56190016 + 506944 = 7496^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (56696963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43655 + ... + 44934.

Almost surely, 256696960 is an apocalyptic number.

It is an amenable number.

56696960 is an abundant number, since it is smaller than the sum of its proper divisors (78845740).

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

56696960 is an equidigital number, since it uses as much as digits as its factorization.

56696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88608 (or 88596 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 47.

The square root of 56696960 is about 7529.7383752691. The cubic root of 56696960 is about 384.1668834817.

The spelling of 56696960 in words is "fifty-six million, six hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 88589 177178 354356 442945 708712 885890 1417424 1771780 2834848 3543560 5669696 7087120 11339392 14174240 28348480 56696960