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56226912 = 2537211953
BaseRepresentation
bin1101011001111…
…1010001100000
310220210121211020
43112133101200
5103343230122
65325045440
71251630600
oct326372140
9126717736
1056226912
1129814125
12169b6880
13b858781
147678c00
154e09c5c
hex359f460

56226912 has 72 divisors (see below), whose sum is σ = 171707256. Its totient is φ = 16063488.

The previous prime is 56226893. The next prime is 56226917. The reversal of 56226912 is 21962265.

56226912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562269122 = 6322931266111488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56226917) 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 11 ways as a sum of consecutive naturals, for example, 1273 + ... + 10680.

It is an arithmetic number, because the mean of its divisors is an integer number (2384823).

Almost surely, 256226912 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 56226912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85853628).

56226912 is an abundant number, since it is smaller than the sum of its proper divisors (115480344).

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

56226912 is a wasteful number, since it uses less digits than its factorization.

56226912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11980 (or 11965 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 56226912 is about 7498.4606420251. The cubic root of 56226912 is about 383.1022866460.

The spelling of 56226912 in words is "fifty-six million, two hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 11953 23906 35859 47812 71718 83671 95624 143436 167342 191248 251013 286872 334684 382496 502026 573744 585697 669368 1004052 1147488 1171394 1338736 1757091 2008104 2342788 2677472 3514182 4016208 4685576 7028364 8032416 9371152 14056728 18742304 28113456 56226912