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641894432 = 25172312239
BaseRepresentation
bin100110010000101…
…000100000100000
31122201211121121212
4212100220200200
52303311110212
6143410005252
721623004224
oct4620504040
91581747555
10641894432
112aa372873
1215ab76828
13a2ca67ba
1461370784
153b545e22
hex26428820

641894432 has 72 divisors (see below), whose sum is σ = 1386362880. Its totient is φ = 292193280.

The previous prime is 641894417. The next prime is 641894437. The reversal of 641894432 is 234498146.

It is a self number, because there is not a number n which added to its sum of digits gives 641894432.

It is not an unprimeable number, because it can be changed into a prime (641894437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285569 + ... + 287807.

It is an arithmetic number, because the mean of its divisors is an integer number (19255040).

Almost surely, 2641894432 is an apocalyptic number.

641894432 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641894432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693181440).

641894432 is an abundant number, since it is smaller than the sum of its proper divisors (744468448).

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

641894432 is a wasteful number, since it uses less digits than its factorization.

641894432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2289 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 641894432 is about 25335.6356146831. The cubic root of 641894432 is about 862.6233363355.

The spelling of 641894432 in words is "six hundred forty-one million, eight hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 289 496 527 544 578 992 1054 1156 2108 2239 2312 4216 4478 4624 8432 8956 8959 9248 16864 17912 17918 35824 35836 38063 69409 71648 71672 76126 138818 143344 152252 277636 286688 304504 555272 609008 647071 1110544 1179953 1218016 1294142 2221088 2359906 2588284 4719812 5176568 9439624 10353136 18879248 20059201 20706272 37758496 40118402 80236804 160473608 320947216 641894432