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476606052 = 223313794297
BaseRepresentation
bin11100011010000…
…110111001100100
31020012211002121000
4130122012321210
51434002343202
6115143153300
714545041006
oct3432067144
91205732530
10476606052
112250391aa
12113745830
1377983c20
1447426376
152bc9691c
hex1c686e64

476606052 has 96 divisors (see below), whose sum is σ = 1347852800. Its totient is φ = 144758016.

The previous prime is 476606027. The next prime is 476606063. The reversal of 476606052 is 250606674.

476606052 is a `hidden beast` number, since 47 + 6 + 6 + 0 + 605 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 476605998 and 476606016.

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, 108768 + ... + 113064.

Almost surely, 2476606052 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 476606052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673926400).

476606052 is an abundant number, since it is smaller than the sum of its proper divisors (871246748).

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

476606052 is a wasteful number, since it uses less digits than its factorization.

476606052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 476606052 is about 21831.3089850334. The cubic root of 476606052 is about 781.1237648028.

The spelling of 476606052 in words is "four hundred seventy-six million, six hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 79 108 117 156 158 234 237 316 351 468 474 702 711 948 1027 1404 1422 2054 2133 2844 3081 4108 4266 4297 6162 8532 8594 9243 12324 12891 17188 18486 25782 27729 36972 38673 51564 55458 55861 77346 110916 111722 116019 154692 167583 223444 232038 335166 339463 464076 502749 670332 678926 1005498 1018389 1357852 1508247 2010996 2036778 3016494 3055167 4073556 4413019 6032988 6110334 8826038 9165501 12220668 13239057 17652076 18331002 26478114 36662004 39717171 52956228 79434342 119151513 158868684 238303026 476606052