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56607928 = 23133747313
BaseRepresentation
bin1101011111110…
…0010010111000
310221111222110221
43113330102320
5103442423203
65341145424
71255105456
oct327742270
9127458427
1056607928
1129a54413
1216b5b274
13b960020
1477379d6
154e82abd
hex35fc4b8

56607928 has 64 divisors (see below), whose sum is σ = 120274560. Its totient is φ = 24800256.

The previous prime is 56607919. The next prime is 56607949. The reversal of 56607928 is 82970665.

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, 180700 + ... + 181012.

It is an arithmetic number, because the mean of its divisors is an integer number (1879290).

Almost surely, 256607928 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 56607928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60137280).

56607928 is an abundant number, since it is smaller than the sum of its proper divisors (63666632).

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

56607928 is a wasteful number, since it uses less digits than its factorization.

56607928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 56607928 is about 7523.8240277136. The cubic root of 56607928 is about 383.9656906557.

The spelling of 56607928 in words is "fifty-six million, six hundred seven thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 37 47 52 74 94 104 148 188 296 313 376 481 611 626 962 1222 1252 1739 1924 2444 2504 3478 3848 4069 4888 6956 8138 11581 13912 14711 16276 22607 23162 29422 32552 45214 46324 58844 90428 92648 117688 150553 180856 191243 301106 382486 544307 602212 764972 1088614 1204424 1529944 2177228 4354456 7075991 14151982 28303964 56607928