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642798920 = 23529554137
BaseRepresentation
bin100110010100000…
…101010101001000
31122210112120100102
4212110011111020
52304024031140
6143441224532
721633462221
oct4624052510
91583476312
10642798920
112aa930385
1215b332148
13a32323ba
1461528248
153b673e15
hex26505548

642798920 has 32 divisors (see below), whose sum is σ = 1496172600. Its totient is φ = 248252928.

The previous prime is 642798913. The next prime is 642798941. The reversal of 642798920 is 29897246.

It can be written as a sum of positive squares in 4 ways, for example, as 540748516 + 102050404 = 23254^2 + 10102^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

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, 275909 + ... + 278228.

Almost surely, 2642798920 is an apocalyptic number.

It is an amenable number.

642798920 is an abundant number, since it is smaller than the sum of its proper divisors (853373680).

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

642798920 is a wasteful number, since it uses less digits than its factorization.

642798920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554177 (or 554173 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 642798920 is about 25353.4794456303. The cubic root of 642798920 is about 863.0283179186.

The spelling of 642798920 in words is "six hundred forty-two million, seven hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 554137 1108274 2216548 2770685 4433096 5541370 11082740 16069973 22165480 32139946 64279892 80349865 128559784 160699730 321399460 642798920