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642860928 = 2733186013
BaseRepresentation
bin100110010100010…
…100011110000000
31122210122201102000
4212110110132000
52304033022203
6143442424000
721634141053
oct4624243600
91583581360
10642860928
112aa972a26
1215b362000
13a32546a8
1461542a9a
153b6874a3
hex26514780

642860928 has 64 divisors (see below), whose sum is σ = 1897342800. Its totient is φ = 214285824.

The previous prime is 642860917. The next prime is 642860929. The reversal of 642860928 is 829068246.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642860929) by changing a digit.

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, 89551 + ... + 96462.

Almost surely, 2642860928 is an apocalyptic number.

It is an amenable number.

642860928 is an abundant number, since it is smaller than the sum of its proper divisors (1254481872).

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

642860928 is a wasteful number, since it uses less digits than its factorization.

642860928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186036 (or 186018 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 642860928 is about 25354.7022857694. The cubic root of 642860928 is about 863.0560678819.

The spelling of 642860928 in words is "six hundred forty-two million, eight hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 186013 372026 558039 744052 1116078 1488104 1674117 2232156 2976208 3348234 4464312 5022351 5952416 6696468 8928624 10044702 11904832 13392936 17857248 20089404 23809664 26785872 35714496 40178808 53571744 71428992 80357616 107143488 160715232 214286976 321430464 642860928