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639988992 = 2833531747
BaseRepresentation
bin100110001001010…
…111010100000000
31122121020210212000
4212021113110000
52302314121432
6143301104000
721600550056
oct4611272400
91577223760
10639988992
112a9291225
1215a3b8000
13a278a416
1460dd61d6
153b2bb57c
hex26257500

639988992 has 144 divisors (see below), whose sum is σ = 1929372480. Its totient is φ = 209184768.

The previous prime is 639988981. The next prime is 639988997. The reversal of 639988992 is 299889936.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (639988997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365463 + ... + 367209.

It is an arithmetic number, because the mean of its divisors is an integer number (13398420).

Almost surely, 2639988992 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 639988992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964686240).

639988992 is an abundant number, since it is smaller than the sum of its proper divisors (1289383488).

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

639988992 is a wasteful number, since it uses less digits than its factorization.

639988992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1805 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The square root of 639988992 is about 25298.0037157085. The cubic root of 639988992 is about 861.7689351475.

The spelling of 639988992 in words is "six hundred thirty-nine million, nine hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 256 288 318 384 424 432 477 576 636 768 848 864 954 1152 1272 1431 1696 1728 1747 1908 2304 2544 2862 3392 3456 3494 3816 5088 5241 5724 6784 6912 6988 7632 10176 10482 11448 13568 13976 15264 15723 20352 20964 22896 27952 30528 31446 40704 41928 45792 47169 55904 61056 62892 83856 91584 92591 94338 111808 122112 125784 167712 183168 185182 188676 223616 251568 277773 335424 366336 370364 377352 447232 503136 555546 670848 740728 754704 833319 1006272 1111092 1341696 1481456 1509408 1666638 2012544 2222184 2499957 2962912 3018816 3333276 4025088 4444368 4999914 5925824 6037632 6666552 8888736 9999828 11851648 12075264 13333104 17777472 19999656 23703296 26666208 35554944 39999312 53332416 71109888 79998624 106664832 159997248 213329664 319994496 639988992