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56164290 = 23572132939
BaseRepresentation
bin1101011000111…
…1111111000010
310220200102220220
43112033333002
5103334224130
65323443510
71251250200
oct326177702
9126612826
1056164290
1129781076
1216986596
13b836110
147660070
154de6410
hex358ffc2

56164290 has 96 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 11846016.

The previous prime is 56164279. The next prime is 56164307. The reversal of 56164290 is 9246165.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17641 + ... + 20579.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 256164290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56164290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

56164290 is an abundant number, since it is smaller than the sum of its proper divisors (112756350).

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

56164290 is a wasteful number, since it uses less digits than its factorization.

56164290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2969 counting only the distinct ones).

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

The square root of 56164290 is about 7494.2838216870. The cubic root of 56164290 is about 382.9600087315.

The spelling of 56164290 in words is "fifty-six million, one hundred sixty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1470 1911 2730 2939 3185 3822 5878 6370 8817 9555 14695 17634 19110 20573 29390 38207 41146 44085 61719 76414 88170 102865 114621 123438 144011 191035 205730 229242 267449 288022 308595 382070 432033 534898 573105 617190 720055 802347 864066 1146210 1337245 1440110 1604694 1872143 2160165 2674490 3744286 4011735 4320330 5616429 8023470 9360715 11232858 18721430 28082145 56164290