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56945106 = 23747277
BaseRepresentation
bin1101100100111…
…0100111010010
310222011010000000
43121032213102
5104034220411
65352310430
71261011501
oct331164722
9128133000
1056945106
112a164779
12170a2416
13ba4a63a
1477c4838
154eec956
hex364e9d2

56945106 has 64 divisors (see below), whose sum is σ = 131304960. Its totient is φ = 18510768.

The previous prime is 56945099. The next prime is 56945117. The reversal of 56945106 is 60154965.

56945106 is a `hidden beast` number, since 56 + 94 + 510 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205440 + ... + 205716.

It is an arithmetic number, because the mean of its divisors is an integer number (2051640).

Almost surely, 256945106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56945106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65652480).

56945106 is an abundant number, since it is smaller than the sum of its proper divisors (74359854).

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

56945106 is an equidigital number, since it uses as much as digits as its factorization.

56945106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56945106 is about 7546.1981156076. The cubic root of 56945106 is about 384.7265298087.

The spelling of 56945106 in words is "fifty-six million, nine hundred forty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 277 282 423 486 554 729 831 846 1269 1458 1662 2187 2493 2538 3807 4374 4986 7479 7614 11421 13019 14958 22437 22842 26038 34263 39057 44874 67311 68526 78114 102789 117171 134622 201933 205578 234342 351513 403866 605799 703026 1054539 1211598 2109078 3163617 6327234 9490851 18981702 28472553 56945106