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52165008 = 2432727393
BaseRepresentation
bin1100011011111…
…1100110010000
310122011020221100
43012333212100
5101323240013
65102024400
71202252400
oct306774620
9118136840
1052165008
112749a385
1215578100
13aa6598c
146cdc800
1548a6473
hex31bf990

52165008 has 90 divisors (see below), whose sum is σ = 169847574. Its totient is φ = 14902272.

The previous prime is 52164979. The next prime is 52165019. The reversal of 52165008 is 80056125.

52165008 is a `hidden beast` number, since 5 + 2 + 1 + 650 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 15586704 = 6048^2 + 3948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3360 + ... + 10752.

Almost surely, 252165008 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 52165008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84923787).

52165008 is an abundant number, since it is smaller than the sum of its proper divisors (117682566).

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

52165008 is a wasteful number, since it uses less digits than its factorization.

52165008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7421 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 52165008 is about 7222.5347351190. The cubic root of 52165008 is about 373.6455027900.

The spelling of 52165008 in words is "fifty-two million, one hundred sixty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 7393 14786 22179 29572 44358 51751 59144 66537 88716 103502 118288 133074 155253 177432 207004 266148 310506 354864 362257 414008 465759 532296 621012 724514 828016 931518 1064592 1086771 1242024 1449028 1863036 2173542 2484048 2898056 3260313 3726072 4347084 5796112 6520626 7452144 8694168 13041252 17388336 26082504 52165008