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56227392 = 2633132503
BaseRepresentation
bin1101011001111…
…1011001000000
310220210122111000
43112133121000
5103343234032
65325052000
71251632154
oct326373100
9126718430
1056227392
1129814521
12169b7000
13b858a60
147679064
154e09e7c
hex359f640

56227392 has 112 divisors (see below), whose sum is σ = 178084480. Its totient is φ = 17293824.

The previous prime is 56227363. The next prime is 56227411. The reversal of 56227392 is 29372265.

56227392 is a `hidden beast` number, since 562 + 2 + 7 + 3 + 92 = 666.

56227392 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 2×562273922 = 6323039222243328, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21213 + ... + 23715.

It is an arithmetic number, because the mean of its divisors is an integer number (1590040).

Almost surely, 256227392 is an apocalyptic number.

56227392 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56227392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89042240).

56227392 is an abundant number, since it is smaller than the sum of its proper divisors (121857088).

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

56227392 is a wasteful number, since it uses less digits than its factorization.

56227392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2521 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 56227392 is about 7498.4926485261. The cubic root of 56227392 is about 383.1033768035.

The spelling of 56227392 in words is "fifty-six million, two hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2503 2808 3744 5006 5616 7488 7509 10012 11232 15018 20024 22464 22527 30036 32539 40048 45054 60072 65078 67581 80096 90108 97617 120144 130156 135162 160192 180216 195234 240288 260312 270324 292851 360432 390468 480576 520624 540648 585702 720864 780936 878553 1041248 1081296 1171404 1441728 1561872 1757106 2082496 2162592 2342808 3123744 3514212 4325184 4685616 6247488 7028424 9371232 14056848 18742464 28113696 56227392