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656602056 = 2332114092027
BaseRepresentation
bin100111001000101…
…111001111001000
31200202111211200200
4213020233033020
52321042231211
6145053132200
722162011465
oct4710571710
91622454620
10656602056
113076a8930
12163a8a060
13a6056036
14632bc66c
153c99db56
hex2722f3c8

656602056 has 96 divisors (see below), whose sum is σ = 1945663200. Its totient is φ = 198385920.

The previous prime is 656602043. The next prime is 656602069. The reversal of 656602056 is 650206656.

656602056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (656602043) and next prime (656602069).

It is a super-3 number, since 3×6566020563 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 656602056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322915 + ... + 324941.

It is an arithmetic number, because the mean of its divisors is an integer number (20267325).

Almost surely, 2656602056 is an apocalyptic number.

656602056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656602056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972831600).

656602056 is an abundant number, since it is smaller than the sum of its proper divisors (1289061144).

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

656602056 is a wasteful number, since it uses less digits than its factorization.

656602056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 656602056 is about 25624.2474230952. The cubic root of 656602056 is about 869.1620310333.

The spelling of 656602056 in words is "six hundred fifty-six million, six hundred two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 409 792 818 1227 1636 2027 2454 3272 3681 4054 4499 4908 6081 7362 8108 8998 9816 12162 13497 14724 16216 17996 18243 22297 24324 26994 29448 35992 36486 40491 44594 48648 53988 66891 72972 80982 89188 107976 133782 145944 161964 178376 200673 267564 323928 401346 535128 802692 829043 1605384 1658086 2487129 3316172 4974258 6632344 7461387 9119473 9948516 14922774 18238946 19897032 27358419 29845548 36477892 54716838 59691096 72955784 82075257 109433676 164150514 218867352 328301028 656602056