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56814768 = 2432715557
BaseRepresentation
bin1101100010111…
…0110010110000
310221220111012200
43120232302300
5104021033033
65345423200
71256626503
oct330566260
9127814180
1056814768
112a08585a
121703ab00
13ba0320a
14778d13a
154ec4013
hex362ecb0

56814768 has 60 divisors (see below), whose sum is σ = 161270928. Its totient is φ = 18668160.

The previous prime is 56814767. The next prime is 56814773. The reversal of 56814768 is 86741865.

It is a happy number.

56814768 is a `hidden beast` number, since 568 + 14 + 76 + 8 = 666.

56814768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56814763) by changing a digit.

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, 7446 + ... + 13002.

Almost surely, 256814768 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 56814768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80635464).

56814768 is an abundant number, since it is smaller than the sum of its proper divisors (104456160).

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

56814768 is a wasteful number, since it uses less digits than its factorization.

56814768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5633 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 56814768 is about 7537.5571639623. The cubic root of 56814768 is about 384.4327802887.

The spelling of 56814768 in words is "fifty-six million, eight hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 5557 10224 11114 16671 22228 33342 44456 50013 66684 88912 100026 133368 200052 266736 394547 400104 789094 800208 1183641 1578188 2367282 3156376 3550923 4734564 6312752 7101846 9469128 14203692 18938256 28407384 56814768