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56947072 = 277134889
BaseRepresentation
bin1101100100111…
…1000110000000
310222011012200211
43121033012000
5104034301242
65352323504
71261020310
oct331170600
9128135624
1056947072
112a1661a6
12170a3594
13ba4b4c0
1477c5440
154eed317
hex364f180

56947072 has 64 divisors (see below), whose sum is σ = 139658400. Its totient is φ = 22523904.

The previous prime is 56947067. The next prime is 56947091. The reversal of 56947072 is 27074965.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9204 + ... + 14092.

Almost surely, 256947072 is an apocalyptic number.

56947072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69829200).

56947072 is an abundant number, since it is smaller than the sum of its proper divisors (82711328).

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

56947072 is a wasteful number, since it uses less digits than its factorization.

56947072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4911 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 56947072 is about 7546.3283787548. The cubic root of 56947072 is about 384.7309572518.

The spelling of 56947072 in words is "fifty-six million, nine hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 4889 5824 9778 11648 19556 34223 39112 63557 68446 78224 127114 136892 156448 254228 273784 312896 444899 508456 547568 625792 889798 1016912 1095136 1779596 2033824 2190272 3559192 4067648 4380544 7118384 8135296 14236768 28473536 56947072