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639919764 = 223411409439
BaseRepresentation
bin100110001001000…
…110011010010100
31122121010021220000
4212021012122110
52302304413024
6143255411300
721600141201
oct4611063224
91577107800
10639919764
112a9244210
1215a383b30
13a2764a63
1460db8ca8
153b2a5cc9
hex26246694

639919764 has 120 divisors (see below), whose sum is σ = 1833585600. Its totient is φ = 193000320.

The previous prime is 639919691. The next prime is 639919783. The reversal of 639919764 is 467919936.

639919764 is a `hidden beast` number, since 6 + 399 + 197 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 639919764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1457457 + ... + 1457895.

It is an arithmetic number, because the mean of its divisors is an integer number (15279880).

Almost surely, 2639919764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639919764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916792800).

639919764 is an abundant number, since it is smaller than the sum of its proper divisors (1193665836).

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

639919764 is a wasteful number, since it uses less digits than its factorization.

639919764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 639919764 is about 25296.6354284517. The cubic root of 639919764 is about 861.7378613365.

The spelling of 639919764 in words is "six hundred thirty-nine million, nine hundred nineteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 409 439 594 818 878 891 1188 1227 1317 1636 1756 1782 2454 2634 3564 3681 3951 4499 4829 4908 5268 7362 7902 8998 9658 11043 11853 13497 14487 14724 15804 17996 19316 22086 23706 26994 28974 33129 35559 40491 43461 44172 47412 53988 57948 66258 71118 80982 86922 121473 130383 132516 142236 161964 173844 179551 242946 260766 359102 364419 391149 485892 521532 538653 718204 728838 782298 1077306 1457676 1564596 1615959 1975061 2154612 3231918 3950122 4847877 5925183 6463836 7900244 9695754 11850366 14543631 17775549 19391508 23700732 29087262 35551098 53326647 58174524 71102196 106653294 159979941 213306588 319959882 639919764