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56585112 = 23317331419
BaseRepresentation
bin1101011111011…
…0101110011000
310221110211011220
43113312232120
5103441210422
65340452040
71254652113
oct327665630
9127424156
1056585112
1129a39261
1216b4a020
13b95281c
14772d57a
154e7ae5c
hex35f6b98

56585112 has 64 divisors (see below), whose sum is σ = 150595200. Its totient is φ = 17656320.

The previous prime is 56585101. The next prime is 56585141. The reversal of 56585112 is 21158565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134839 + ... + 135257.

It is an arithmetic number, because the mean of its divisors is an integer number (2353050).

Almost surely, 256585112 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 56585112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75297600).

56585112 is an abundant number, since it is smaller than the sum of its proper divisors (94010088).

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

56585112 is a wasteful number, since it uses less digits than its factorization.

56585112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its digits is 12000, while the sum is 33.

The square root of 56585112 is about 7522.3076246588. The cubic root of 56585112 is about 383.9140975382.

The spelling of 56585112 in words is "fifty-six million, five hundred eighty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 331 408 419 662 838 993 1257 1324 1676 1986 2514 2648 3352 3972 5028 5627 7123 7944 10056 11254 14246 16881 21369 22508 28492 33762 42738 45016 56984 67524 85476 135048 138689 170952 277378 416067 554756 832134 1109512 1664268 2357713 3328536 4715426 7073139 9430852 14146278 18861704 28292556 56585112