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642974004 = 22335953463
BaseRepresentation
bin100110010100110…
…000000100110100
31122210212110112000
4212110300010310
52304100132004
6143445055300
721635121531
oct4624600464
91583773460
10642974004
112aaa3a982
1215b3b7530
13a3293cba
1461571d88
153b6aac39
hex26530134

642974004 has 24 divisors (see below), whose sum is σ = 1666969920. Its totient is φ = 214324632.

The previous prime is 642973987. The next prime is 642974011. The reversal of 642974004 is 400479246.

642974004 is a `hidden beast` number, since 642 + 9 + 7 + 4 + 0 + 0 + 4 = 666.

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 642974004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2976624 + ... + 2976839.

It is an arithmetic number, because the mean of its divisors is an integer number (69457080).

Almost surely, 2642974004 is an apocalyptic number.

It is an amenable number.

642974004 is an abundant number, since it is smaller than the sum of its proper divisors (1023995916).

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

642974004 is a wasteful number, since it uses less digits than its factorization.

642974004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5953476 (or 5953468 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 642974004 is about 25356.9320699488. The cubic root of 642974004 is about 863.1066673207.

The spelling of 642974004 in words is "six hundred forty-two million, nine hundred seventy-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 5953463 11906926 17860389 23813852 35720778 53581167 71441556 107162334 160743501 214324668 321487002 642974004