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56928512 = 2817103127
BaseRepresentation
bin1101100100101…
…0100100000000
310222010021020102
43121022210000
5104033203022
65352101532
71260612224
oct331124400
9128107212
1056928512
112a153263
12170948a8
13ba42c14
1477bc784
154ee7a92
hex364a900

56928512 has 72 divisors (see below), whose sum is σ = 122443776. Its totient is φ = 26320896.

The previous prime is 56928511. The next prime is 56928559. The reversal of 56928512 is 21582965.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56928511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448193 + ... + 448319.

It is an arithmetic number, because the mean of its divisors is an integer number (1700608).

Almost surely, 256928512 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 56928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61221888).

56928512 is an abundant number, since it is smaller than the sum of its proper divisors (65515264).

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

56928512 is a wasteful number, since it uses less digits than its factorization.

56928512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its digits is 43200, while the sum is 38.

The square root of 56928512 is about 7545.0985414373. The cubic root of 56928512 is about 384.6891559663.

The spelling of 56928512 in words is "fifty-six million, nine hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 127 128 136 206 254 256 272 412 508 544 824 1016 1088 1648 1751 2032 2159 2176 3296 3502 4064 4318 4352 6592 7004 8128 8636 13081 13184 14008 16256 17272 26162 26368 28016 32512 34544 52324 56032 69088 104648 112064 138176 209296 222377 224128 276352 418592 444754 448256 552704 837184 889508 1674368 1779016 3348736 3558032 7116064 14232128 28464256 56928512