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639909936 = 24333171673
BaseRepresentation
bin100110001001000…
…100000000110000
31122121002210102000
4212021010000300
52302304104221
6143255254000
721600100431
oct4611040060
91577083360
10639909936
112a9237896
1215a37a300
13a2760443
1460db5488
153b2a2e26
hex26244030

639909936 has 160 divisors (see below), whose sum is σ = 1925591040. Its totient is φ = 203212800.

The previous prime is 639909917. The next prime is 639909943.

639909936 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 950496 + ... + 951168.

It is an arithmetic number, because the mean of its divisors is an integer number (12034944).

Almost surely, 2639909936 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 639909936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962795520).

639909936 is an abundant number, since it is smaller than the sum of its proper divisors (1285681104).

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

639909936 is a wasteful number, since it uses less digits than its factorization.

639909936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The square root of 639909936 is about 25296.4411726235. The cubic root of 639909936 is about 861.7334497401.

It can be divided in two parts, 639 and 909936, that added together give a triangular number (910575 = T1349).

The spelling of 639909936 in words is "six hundred thirty-nine million, nine hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 71 72 93 108 124 142 144 186 213 216 248 279 284 372 426 432 496 558 568 639 673 744 837 852 1116 1136 1278 1346 1488 1674 1704 1917 2019 2201 2232 2556 2692 3348 3408 3834 4038 4402 4464 5112 5384 6057 6603 6696 7668 8076 8804 10224 10768 12114 13206 13392 15336 16152 17608 18171 19809 20863 24228 26412 30672 32304 35216 36342 39618 41726 47783 48456 52824 59427 62589 72684 79236 83452 95566 96912 105648 118854 125178 143349 145368 158472 166904 187767 191132 237708 250356 286698 290736 316944 333808 375534 382264 430047 475416 500712 563301 573396 751068 764528 860094 950832 1001424 1126602 1146792 1290141 1481273 1502136 1720188 2253204 2293584 2580282 2962546 3004272 3440376 4443819 4506408 5160564 5925092 6880752 8887638 9012816 10321128 11850184 13331457 17775276 20642256 23700368 26662914 35550552 39994371 53325828 71101104 79988742 106651656 159977484 213303312 319954968 639909936