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56125272 = 2337439761
BaseRepresentation
bin1101011000011…
…0011101011000
310220121110101210
43112012131120
5103332002042
65322543120
71251025350
oct326063530
9126543353
1056125272
1129754825
1216967aa0
13b821428
14764db60
154dd9a9c
hex3586758

56125272 has 64 divisors (see below), whose sum is σ = 160934400. Its totient is φ = 15978240.

The previous prime is 56125261. The next prime is 56125291. The reversal of 56125272 is 27252165.

56125272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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, 73372 + ... + 74132.

It is an arithmetic number, because the mean of its divisors is an integer number (2514600).

Almost surely, 256125272 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 56125272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80467200).

56125272 is an abundant number, since it is smaller than the sum of its proper divisors (104809128).

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

56125272 is a wasteful number, since it uses less digits than its factorization.

56125272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1212 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 56125272 is about 7491.6801853790. The cubic root of 56125272 is about 382.8713058970.

The spelling of 56125272 in words is "fifty-six million, one hundred twenty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 439 761 878 1317 1522 1756 2283 2634 3044 3073 3512 4566 5268 5327 6088 6146 9132 9219 10536 10654 12292 15981 18264 18438 21308 24584 31962 36876 42616 63924 73752 127848 334079 668158 1002237 1336316 2004474 2338553 2672632 4008948 4677106 7015659 8017896 9354212 14031318 18708424 28062636 56125272