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639867312 = 243271036163
BaseRepresentation
bin100110001000111…
…001100110110000
31122121000121221100
4212020321212300
52302301223222
6143254324400
721566532240
oct4610714660
91577017840
10639867312
112a9208867
1215a359700
13a2746c16
1460da3b20
153b2954ac
hex262399b0

639867312 has 120 divisors (see below), whose sum is σ = 2066764544. Its totient is φ = 181014912.

The previous prime is 639867299. The next prime is 639867323. The reversal of 639867312 is 213768936.

639867312 is a `hidden beast` number, since 639 + 8 + 6 + 7 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×6398673122 = 818860353932210688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100743 + ... + 106905.

Almost surely, 2639867312 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 639867312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033382272).

639867312 is an abundant number, since it is smaller than the sum of its proper divisors (1426897232).

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

639867312 is a wasteful number, since it uses less digits than its factorization.

639867312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6278 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 639867312 is about 25295.5986685431. The cubic root of 639867312 is about 861.7143161402.

The spelling of 639867312 in words is "six hundred thirty-nine million, eight hundred sixty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 103 112 126 144 168 206 252 309 336 412 504 618 721 824 927 1008 1236 1442 1648 1854 2163 2472 2884 3708 4326 4944 5768 6163 6489 7416 8652 11536 12326 12978 14832 17304 18489 24652 25956 34608 36978 43141 49304 51912 55467 73956 86282 98608 103824 110934 129423 147912 172564 221868 258846 295824 345128 388269 443736 517692 634789 690256 776538 887472 1035384 1269578 1553076 1904367 2070768 2539156 3106152 3808734 4443523 5078312 5713101 6212304 7617468 8887046 10156624 11426202 13330569 15234936 17774092 22852404 26661138 30469872 35548184 39991707 45704808 53322276 71096368 79983414 91409616 106644552 159966828 213289104 319933656 639867312