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56663784 = 23323153479
BaseRepresentation
bin1101100000100…
…1111011101000
310221121211002200
43120021323220
5104001220114
65342300200
71255430352
oct330117350
9127554080
1056663784
1129a92381
1216b87660
13b97c588
1477500d2
154e94409
hex3609ee8

56663784 has 96 divisors (see below), whose sum is σ = 161740800. Its totient is φ = 17896320.

The previous prime is 56663773. The next prime is 56663797. The reversal of 56663784 is 48736665.

56663784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 118057 + ... + 118535.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 256663784 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 56663784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80870400).

56663784 is an abundant number, since it is smaller than the sum of its proper divisors (105077016).

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

56663784 is a wasteful number, since it uses less digits than its factorization.

56663784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 568 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 56663784 is about 7527.5350547174. The cubic root of 56663784 is about 384.0919376219.

The spelling of 56663784 in words is "fifty-six million, six hundred sixty-three thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 53 62 72 93 106 124 159 186 212 248 279 318 372 424 477 479 558 636 744 954 958 1116 1272 1437 1643 1908 1916 2232 2874 3286 3816 3832 4311 4929 5748 6572 8622 9858 11496 13144 14787 14849 17244 19716 25387 29574 29698 34488 39432 44547 50774 59148 59396 76161 89094 101548 118296 118792 133641 152322 178188 203096 228483 267282 304644 356376 456966 534564 609288 786997 913932 1069128 1573994 1827864 2360991 3147988 4721982 6295976 7082973 9443964 14165946 18887928 28331892 56663784