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642541392 = 243219234847
BaseRepresentation
bin100110010011000…
…110011101010000
31122210001111002100
4212103012131100
52303442311032
6143431520400
721631340343
oct4623063520
91583044070
10642541392
112aa774949
1215b229100
13a317210c
146149c45a
153b62297c
hex264c6750

642541392 has 60 divisors (see below), whose sum is σ = 1892874880. Its totient is φ = 202906944.

The previous prime is 642541379. The next prime is 642541421. The reversal of 642541392 is 293145246.

It is a happy number.

642541392 is a `hidden beast` number, since 642 + 5 + 4 + 1 + 3 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114688 + ... + 120159.

Almost surely, 2642541392 is an apocalyptic number.

It is an amenable number.

642541392 is an abundant number, since it is smaller than the sum of its proper divisors (1250333488).

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

642541392 is a wasteful number, since it uses less digits than its factorization.

642541392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234880 (or 234871 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 642541392 is about 25348.4001862050. The cubic root of 642541392 is about 862.9130492930.

The spelling of 642541392 in words is "six hundred forty-two million, five hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 234847 469694 704541 939388 1409082 1878776 2113623 2818164 3757552 4227246 4462093 5636328 8454492 8924186 11272656 13386279 16908984 17848372 26772558 33817968 35696744 40158837 53545116 71393488 80317674 107090232 160635348 214180464 321270696 642541392