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56991024 = 24321512621
BaseRepresentation
bin1101100101100…
…1110100110000
310222020102222200
43121121310300
5104042203044
65353303200
71261262406
oct331316460
9128212880
1056991024
112a196222
1217104b00
13ba654cc
1477d7476
15500b369
hex3659d30

56991024 has 60 divisors (see below), whose sum is σ = 160613232. Its totient is φ = 18864000.

The previous prime is 56991007. The next prime is 56991031. The reversal of 56991024 is 42019965.

56991024 is a `hidden beast` number, since 569 + 91 + 0 + 2 + 4 = 666.

56991024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56991024.

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 11 ways as a sum of consecutive naturals, for example, 20434 + ... + 23054.

Almost surely, 256991024 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 56991024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80306616).

56991024 is an abundant number, since it is smaller than the sum of its proper divisors (103622208).

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

56991024 is a wasteful number, since it uses less digits than its factorization.

56991024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 56991024 is about 7549.2399617445. The cubic root of 56991024 is about 384.8299108121.

The spelling of 56991024 in words is "fifty-six million, nine hundred ninety-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2621 2718 3624 5242 5436 7248 7863 10484 10872 15726 20968 21744 23589 31452 41936 47178 62904 94356 125808 188712 377424 395771 791542 1187313 1583084 2374626 3166168 3561939 4749252 6332336 7123878 9498504 14247756 18997008 28495512 56991024