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56314566 = 23271141991
BaseRepresentation
bin1101011011010…
…0101011000110
310220222002001200
43112310223012
5103404031231
65331003330
71252444260
oct326645306
9126862050
1056314566
1129873a70
1216a39546
13b889639
14769cb30
154e25be6
hex35b4ac6

56314566 has 96 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 14256000.

The previous prime is 56314553. The next prime is 56314579. The reversal of 56314566 is 66541365.

It is an interprime number because it is at equal distance from previous prime (56314553) and next prime (56314579).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56314566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56331 + ... + 57321.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 256314566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56314566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

56314566 is an abundant number, since it is smaller than the sum of its proper divisors (99675450).

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

56314566 is a wasteful number, since it uses less digits than its factorization.

56314566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1055 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 56314566 is about 7504.3031655178. The cubic root of 56314566 is about 383.3012602445.

It can be divided in two parts, 563 and 14566, that added together give a square (15129 = 1232).

The spelling of 56314566 in words is "fifty-six million, three hundred fourteen thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 63 66 77 82 99 123 126 154 198 231 246 287 369 451 462 574 693 738 861 902 991 1353 1386 1722 1982 2583 2706 2973 3157 4059 5166 5946 6314 6937 8118 8919 9471 10901 13874 17838 18942 20811 21802 28413 32703 40631 41622 56826 62433 65406 76307 81262 98109 121893 124866 152614 196218 228921 243786 284417 365679 446941 457842 568834 686763 731358 853251 893882 1340823 1373526 1706502 2559753 2681646 3128587 4022469 5119506 6257174 8044938 9385761 18771522 28157283 56314566