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56056224 = 253783417
BaseRepresentation
bin1101010111010…
…1100110100000
310220110221200110
43111311212200
5103322244344
65321251320
71250320140
oct325654640
9126427613
1056056224
1129707964
1216933b40
13b7c8b83
147632920
154dc43b9
hex35759a0

56056224 has 48 divisors (see below), whose sum is σ = 168170688. Its totient is φ = 16015872.

The previous prime is 56056211. The next prime is 56056229. The reversal of 56056224 is 42265065.

56056224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 56056191 and 56056200.

It is not an unprimeable number, because it can be changed into a prime (56056229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41037 + ... + 42380.

It is an arithmetic number, because the mean of its divisors is an integer number (3503556).

Almost surely, 256056224 is an apocalyptic number.

It is an amenable number.

56056224 is an abundant number, since it is smaller than the sum of its proper divisors (112114464).

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

56056224 is a wasteful number, since it uses less digits than its factorization.

56056224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83437 (or 83429 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56056224 is about 7487.0704551246. The cubic root of 56056224 is about 382.7142325885.

It can be divided in two parts, 56056 and 224, that added together give a triangular number (56280 = T335).

The spelling of 56056224 in words is "fifty-six million, fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 83417 166834 250251 333668 500502 583919 667336 1001004 1167838 1334672 1751757 2002008 2335676 2669344 3503514 4004016 4671352 7007028 8008032 9342704 14014056 18685408 28028112 56056224