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642381504 = 26331107927
BaseRepresentation
bin100110010010011…
…111011011000000
31122202202100202120
4212102133123000
52303422202004
6143424244240
721630103242
oct4622373300
91582670676
10642381504
112aa675806
1215b170680
13a31173cb
146145a092
153b5e03d9
hex2649f6c0

642381504 has 56 divisors (see below), whose sum is σ = 1754477568. Its totient is φ = 207217920.

The previous prime is 642381503. The next prime is 642381511. The reversal of 642381504 is 405183246.

It is not an unprimeable number, because it can be changed into a prime (642381503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48012 + ... + 59915.

Almost surely, 2642381504 is an apocalyptic number.

642381504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

642381504 is an abundant number, since it is smaller than the sum of its proper divisors (1112096064).

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

642381504 is a wasteful number, since it uses less digits than its factorization.

642381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107973 (or 107963 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 642381504 is about 25345.2461814834. The cubic root of 642381504 is about 862.8414684896.

The spelling of 642381504 in words is "six hundred forty-two million, three hundred eighty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 107927 215854 323781 431708 647562 863416 1295124 1726832 2590248 3345737 3453664 5180496 6691474 6907328 10037211 10360992 13382948 20074422 20721984 26765896 40148844 53531792 80297688 107063584 160595376 214127168 321190752 642381504