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631879776 = 253211199457
BaseRepresentation
bin100101101010011…
…011100001100000
31122000222211002200
4211222123201200
52243230123101
6142411213200
721441614043
oct4552334140
91560884080
10631879776
112a47526a0
12157747200
13a0bab378
145dcc4c5a
153a718986
hex25a9b860

631879776 has 72 divisors (see below), whose sum is σ = 1960273224. Its totient is φ = 191477760.

The previous prime is 631879771. The next prime is 631879777. The reversal of 631879776 is 677978136.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631879771) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 96561 + ... + 102896.

It is an arithmetic number, because the mean of its divisors is an integer number (27226017).

Almost surely, 2631879776 is an apocalyptic number.

631879776 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

631879776 is an abundant number, since it is smaller than the sum of its proper divisors (1328393448).

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

631879776 is a wasteful number, since it uses less digits than its factorization.

631879776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199484 (or 199473 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 631879776 is about 25137.2189392542. The cubic root of 631879776 is about 858.1136661317.

The spelling of 631879776 in words is "six hundred thirty-one million, eight hundred seventy-nine thousand, seven hundred seventy-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 199457 398914 598371 797828 1196742 1595656 1795113 2194027 2393484 3191312 3590226 4388054 4786968 6382624 6582081 7180452 8776108 9573936 13164162 14360904 17552216 19147872 19746243 26328324 28721808 35104432 39492486 52656648 57443616 70208864 78984972 105313296 157969944 210626592 315939888 631879776