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56926144 = 261127351
BaseRepresentation
bin1101100100100…
…1111111000000
310222010010222201
43121021333000
5104033114034
65352042544
71260602302
oct331117700
9128103881
1056926144
112a151500
1217093454
13ba41b12
1477bb972
154ee7014
hex3649fc0

56926144 has 42 divisors (see below), whose sum is σ = 124182632. Its totient is φ = 25872000.

The previous prime is 56926073. The next prime is 56926151. The reversal of 56926144 is 44162965.

56926144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4069 + ... + 11419.

Almost surely, 256926144 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 56926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62091316).

56926144 is an abundant number, since it is smaller than the sum of its proper divisors (67256488).

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

56926144 is a wasteful number, since it uses less digits than its factorization.

56926144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385 (or 7364 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 56926144 is about 7544.9416167390. The cubic root of 56926144 is about 384.6838220453.

The spelling of 56926144 in words is "fifty-six million, nine hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7351 7744 14702 29404 58808 80861 117616 161722 235232 323444 470464 646888 889471 1293776 1778942 2587552 3557884 5175104 7115768 14231536 28463072 56926144