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56856132 = 223219101823
BaseRepresentation
bin1101100011100…
…0111001000100
310221222120221200
43120320321010
5104023344012
65350342500
71260161214
oct330707104
9127876850
1056856132
112a103943
121705aa30
13ba18ca8
1477a0244
154ed13dc
hex3638e44

56856132 has 72 divisors (see below), whose sum is σ = 152967360. Its totient is φ = 17755200.

The previous prime is 56856131. The next prime is 56856167. The reversal of 56856132 is 23165865.

56856132 is a `hidden beast` number, since 5 + 68 + 561 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56856131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68673 + ... + 69495.

Almost surely, 256856132 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 56856132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76483680).

56856132 is an abundant number, since it is smaller than the sum of its proper divisors (96111228).

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

56856132 is a wasteful number, since it uses less digits than its factorization.

56856132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 948 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 56856132 is about 7540.3005245149. The cubic root of 56856132 is about 384.5260531036.

The spelling of 56856132 in words is "fifty-six million, eight hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 404 606 684 823 909 1212 1646 1818 1919 2469 3292 3636 3838 4938 5757 7407 7676 9876 11514 14814 15637 17271 23028 29628 31274 34542 46911 62548 69084 83123 93822 140733 166246 187644 249369 281466 332492 498738 562932 748107 997476 1496214 1579337 2992428 3158674 4738011 6317348 9476022 14214033 18952044 28428066 56856132