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639747936 = 25331938971
BaseRepresentation
bin100110001000011…
…100011101100000
31122120210120012000
4212020130131200
52302233413221
6143252004000
721565524222
oct4610343540
91576716160
10639747936
112a9137103
1215a300600
13a2704799
1460d72412
153b26ee26
hex2621c760

639747936 has 96 divisors (see below), whose sum is σ = 1964188800. Its totient is φ = 202020480.

The previous prime is 639747919. The next prime is 639747943.

639747936 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070 + ... + 35901.

It is an arithmetic number, because the mean of its divisors is an integer number (20460300).

Almost surely, 2639747936 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 639747936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982094400).

639747936 is an abundant number, since it is smaller than the sum of its proper divisors (1324440864).

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

639747936 is a wasteful number, since it uses less digits than its factorization.

639747936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39009 (or 38995 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 639747936 is about 25293.2389384990. The cubic root of 639747936 is about 861.6607246095.

The spelling of 639747936 in words is "six hundred thirty-nine million, seven hundred forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 38971 77942 116913 155884 233826 311768 350739 467652 623536 701478 740449 935304 1052217 1247072 1402956 1480898 1870608 2104434 2221347 2805912 2961796 3741216 4208868 4442694 5611824 5923592 6664041 8417736 8885388 11223648 11847184 13328082 16835472 17770776 19992123 23694368 26656164 33670944 35541552 39984246 53312328 71083104 79968492 106624656 159936984 213249312 319873968 639747936