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642952017 = 32611171133
BaseRepresentation
bin100110010100101…
…010101101010001
31122210211100100200
4212110222231101
52304043431032
6143444405413
721635000451
oct4624525521
91583740320
10642952017
112aaa25404
1215b3a6869
13a3286ca6
1461567d61
153b6a447c
hex2652ab51

642952017 has 12 divisors (see below), whose sum is σ = 943934004. Its totient is φ = 421607520.

The previous prime is 642951989. The next prime is 642952027. The reversal of 642952017 is 710259246.

642952017 is a `hidden beast` number, since 642 + 9 + 5 + 2 + 0 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 623450961 = 4416^2 + 24969^2 .

It is not a de Polignac number, because 642952017 - 27 = 642951889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (642952027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585018 + ... + 586115.

It is an arithmetic number, because the mean of its divisors is an integer number (78661167).

Almost surely, 2642952017 is an apocalyptic number.

It is an amenable number.

642952017 is a deficient number, since it is larger than the sum of its proper divisors (300981987).

642952017 is a wasteful number, since it uses less digits than its factorization.

642952017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171200 (or 1171197 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 642952017 is about 25356.4985161595. The cubic root of 642952017 is about 863.0968290056.

The spelling of 642952017 in words is "six hundred forty-two million, nine hundred fifty-two thousand, seventeen".

Divisors: 1 3 9 61 183 549 1171133 3513399 10540197 71439113 214317339 642952017