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56051968 = 287311009
BaseRepresentation
bin1101010111010…
…0100100000000
310220110201211211
43111310210000
5103322130333
65321215504
71250301550
oct325644400
9126421754
1056051968
1129704745
1216931594
13b7c6c5b
147631160
154dc2ecd
hex3574900

56051968 has 72 divisors (see below), whose sum is σ = 132124160. Its totient is φ = 23224320.

The previous prime is 56051927. The next prime is 56051969. The reversal of 56051968 is 86915065.

It is a self number, because there is not a number n which added to its sum of digits gives 56051968.

It is not an unprimeable number, because it can be changed into a prime (56051969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55048 + ... + 56056.

Almost surely, 256051968 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 56051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66062080).

56051968 is an abundant number, since it is smaller than the sum of its proper divisors (76072192).

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

56051968 is a wasteful number, since it uses less digits than its factorization.

56051968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 56051968 is about 7486.7862264125. The cubic root of 56051968 is about 382.7045466406.

The spelling of 56051968 in words is "fifty-six million, fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1009 1736 1792 1984 2018 3472 3968 4036 6944 7063 7936 8072 13888 14126 16144 27776 28252 31279 32288 55552 56504 62558 64576 113008 125116 129152 218953 226016 250232 258304 437906 452032 500464 875812 904064 1000928 1751624 1808128 2001856 3503248 4003712 7006496 8007424 14012992 28025984 56051968