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56697760 = 2557233171
BaseRepresentation
bin1101100001001…
…0001110100000
310221200112201001
43120102032200
5104003312020
65343121344
71255631410
oct330221640
9127615631
1056697760
112a005959
1216ba3254
13b991b92
14775c640
154e9e50a
hex36123a0

56697760 has 192 divisors, whose sum is σ = 167215104. Its totient is φ = 17740800.

The previous prime is 56697749. The next prime is 56697763. The reversal of 56697760 is 6779665.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 56697760.

It is not an unprimeable number, because it can be changed into a prime (56697763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798525 + ... + 798595.

It is an arithmetic number, because the mean of its divisors is an integer number (870912).

Almost surely, 256697760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56697760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83607552).

56697760 is an abundant number, since it is smaller than the sum of its proper divisors (110517344).

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

56697760 is a wasteful number, since it uses less digits than its factorization.

56697760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The square root of 56697760 is about 7529.7914977773. The cubic root of 56697760 is about 384.1686903514.

The spelling of 56697760 in words is "fifty-six million, six hundred ninety-seven thousand, seven hundred sixty".