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56906412 = 22317261269
BaseRepresentation
bin1101100100010…
…1001010101100
310222002010220220
43121011022230
5104032001122
65351411340
71260460623
oct331051254
9128063826
1056906412
112a1386a2
1217083b50
13ba35b44
1477b46ba
154ee125c
hex36452ac

56906412 has 72 divisors (see below), whose sum is σ = 143897040. Its totient is φ = 17495040.

The previous prime is 56906411. The next prime is 56906413. The reversal of 56906412 is 21460965.

It is an interprime number because it is at equal distance from previous prime (56906411) and next prime (56906413).

It is not an unprimeable number, because it can be changed into a prime (56906411) 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, 211414 + ... + 211682.

It is an arithmetic number, because the mean of its divisors is an integer number (1998570).

Almost surely, 256906412 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 56906412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71948520).

56906412 is an abundant number, since it is smaller than the sum of its proper divisors (86990628).

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

56906412 is a wasteful number, since it uses less digits than its factorization.

56906412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

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

The square root of 56906412 is about 7543.6338723456. The cubic root of 56906412 is about 384.6393699545.

The spelling of 56906412 in words is "fifty-six million, nine hundred six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 269 289 366 538 578 732 807 867 1037 1076 1156 1614 1734 2074 3111 3228 3468 4148 4573 6222 9146 12444 13719 16409 17629 18292 27438 32818 35258 49227 52887 54876 65636 70516 77741 98454 105774 155482 196908 211548 233223 278953 310964 466446 557906 836859 932892 1115812 1673718 3347436 4742201 9484402 14226603 18968804 28453206 56906412