Search a number
-
+
56133864 = 23331715287
BaseRepresentation
bin1101011000100…
…0100011101000
310220121220012000
43112020203220
5103332240424
65323051000
71251062403
oct326104350
9126556160
1056133864
1129760226
1216970a60
13b825307
147652d3a
154ddc3c9
hex35888e8

56133864 has 64 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 17609472.

The previous prime is 56133853. The next prime is 56133887. The reversal of 56133864 is 46833165.

56133864 is a `hidden beast` number, since 5 + 613 + 38 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3972 + ... + 11315.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 256133864 is an apocalyptic number.

56133864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56133864 is an abundant number, since it is smaller than the sum of its proper divisors (108976536).

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

56133864 is a wasteful number, since it uses less digits than its factorization.

56133864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15319 (or 15309 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 56133864 is about 7492.2535995520. The cubic root of 56133864 is about 382.8908423274.

The spelling of 56133864 in words is "fifty-six million, one hundred thirty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 15287 30574 45861 61148 91722 122296 137583 183444 259879 275166 366888 412749 519758 550332 779637 825498 1039516 1100664 1559274 1650996 2079032 2338911 3118548 3301992 4677822 6237096 7016733 9355644 14033466 18711288 28066932 56133864