Search a number
-
+
639926496 = 253211201997
BaseRepresentation
bin100110001001001…
…000000011100000
31122121010122010100
4212021020003200
52302310121441
6143255502400
721600166626
oct4611100340
91577118110
10639926496
112a9249280
1215a387a00
13a2767b41
1460dbb516
153b2a7cb6
hex262480e0

639926496 has 72 divisors (see below), whose sum is σ = 1985236344. Its totient is φ = 193916160.

The previous prime is 639926491. The next prime is 639926501. The reversal of 639926496 is 694629936.

639926496 is a `hidden beast` number, since 63 + 9 + 92 + 6 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (639926491) and next prime (639926501).

It is a tau number, because it is divible by the number of its divisors (72).

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 (639926491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97831 + ... + 104166.

It is an arithmetic number, because the mean of its divisors is an integer number (27572727).

Almost surely, 2639926496 is an apocalyptic number.

639926496 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

639926496 is an abundant number, since it is smaller than the sum of its proper divisors (1345309848).

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

639926496 is a wasteful number, since it uses less digits than its factorization.

639926496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202024 (or 202013 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 639926496 is about 25296.7684892755. The cubic root of 639926496 is about 861.7408831731.

The spelling of 639926496 in words is "six hundred thirty-nine million, nine hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 201997 403994 605991 807988 1211982 1615976 1817973 2221967 2423964 3231952 3635946 4443934 4847928 6463904 6665901 7271892 8887868 9695856 13331802 14543784 17775736 19391712 19997703 26663604 29087568 35551472 39995406 53327208 58175136 71102944 79990812 106654416 159981624 213308832 319963248 639926496