Search a number
-
+
56485512 = 2334611429
BaseRepresentation
bin1101011101111…
…0011010001000
310221021202120000
43113132122020
5103430014022
65334403000
71254055536
oct327363210
9127252500
1056485512
1129980446
1216b00460
13b9193a5
147705156
154e5b6ac
hex35de688

56485512 has 80 divisors (see below), whose sum is σ = 160917900. Its totient is φ = 18506880.

The previous prime is 56485483. The next prime is 56485519. The reversal of 56485512 is 21558465.

56485512 is a `hidden beast` number, since 5 + 64 + 85 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40373316 + 16112196 = 6354^2 + 4014^2 .

It is a super-2 number, since 2×564855122 = 6381226131804288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56485519) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38814 + ... + 40242.

Almost surely, 256485512 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 56485512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80458950).

56485512 is an abundant number, since it is smaller than the sum of its proper divisors (104432388).

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

56485512 is a wasteful number, since it uses less digits than its factorization.

56485512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1495 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 56485512 is about 7515.6843999732. The cubic root of 56485512 is about 383.6887125685.

The spelling of 56485512 in words is "fifty-six million, four hundred eighty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1429 1464 1647 2196 2858 3294 4287 4392 4941 5716 6588 8574 9882 11432 12861 13176 17148 19764 25722 34296 38583 39528 51444 77166 87169 102888 115749 154332 174338 231498 261507 308664 348676 462996 523014 697352 784521 925992 1046028 1569042 2092056 2353563 3138084 4707126 6276168 7060689 9414252 14121378 18828504 28242756 56485512