Search a number
-
+
56401566 = 231323149211
BaseRepresentation
bin1101011100100…
…1111010011110
310221010111101220
43113021322132
5103414322231
65332514210
71253256024
oct327117236
9127114356
1056401566
1129923371
1216a7b966
13b8ba110
1476c2714
154e41896
hex35c9e9e

56401566 has 64 divisors (see below), whose sum is σ = 128217600. Its totient is φ = 16410240.

The previous prime is 56401561. The next prime is 56401567. The reversal of 56401566 is 66510465.

It is a super-2 number, since 2×564015662 = 6362273294504712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56401561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267201 + ... + 267411.

It is an arithmetic number, because the mean of its divisors is an integer number (2003400).

Almost surely, 256401566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56401566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64108800).

56401566 is an abundant number, since it is smaller than the sum of its proper divisors (71816034).

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

56401566 is a wasteful number, since it uses less digits than its factorization.

56401566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56401566 is about 7510.0976025615. The cubic root of 56401566 is about 383.4985452106.

The spelling of 56401566 in words is "fifty-six million, four hundred one thousand, five hundred sixty-six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 149 211 298 299 422 447 598 633 894 897 1266 1794 1937 2743 3427 3874 4853 5486 5811 6854 8229 9706 10281 11622 14559 16458 20562 29118 31439 44551 62878 63089 89102 94317 126178 133653 188634 189267 267306 378534 408707 723097 817414 1226121 1446194 2169291 2452242 4338582 9400261 18800522 28200783 56401566