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56152152 = 23327432591
BaseRepresentation
bin1101011000110…
…1000001011000
310220122211021100
43112031001120
5103333332102
65323311400
71251166620
oct326150130
9126584240
1056152152
1129772a41
121697b560
13b830734
147659880
154de2a1c
hex358d058

56152152 has 96 divisors (see below), whose sum is σ = 177914880. Its totient is φ = 15664320.

The previous prime is 56152141. The next prime is 56152153. The reversal of 56152152 is 25125165.

56152152 is a `hidden beast` number, since 561 + 52 + 1 + 52 = 666.

It is a super-2 number, since 2×561521522 = 6306128348462208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56152153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20377 + ... + 22967.

It is an arithmetic number, because the mean of its divisors is an integer number (1853280).

Almost surely, 256152152 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 56152152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88957440).

56152152 is an abundant number, since it is smaller than the sum of its proper divisors (121762728).

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

56152152 is a wasteful number, since it uses less digits than its factorization.

56152152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2646 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 56152152 is about 7493.4739607208. The cubic root of 56152152 is about 382.9324188194.

The spelling of 56152152 in words is "fifty-six million, one hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2408 2591 2709 3096 3612 5182 5418 7224 7773 10364 10836 15546 18137 20728 21672 23319 31092 36274 46638 54411 62184 72548 93276 108822 111413 145096 163233 186552 217644 222826 326466 334239 435288 445652 652932 668478 779891 891304 1002717 1305864 1336956 1559782 2005434 2339673 2673912 3119564 4010868 4679346 6239128 7019019 8021736 9358692 14038038 18717384 28076076 56152152