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631791072 = 253211199429
BaseRepresentation
bin100101101010000…
…101110111100000
31122000211022102100
4211222011313200
52243214303242
6142405250400
721441064323
oct4552056740
91560738370
10631791072
112a46a1a90
12157703a00
13a0b79b93
145dca07ba
153a6ec54c
hex25a85de0

631791072 has 72 divisors (see below), whose sum is σ = 1959998040. Its totient is φ = 191450880.

The previous prime is 631791049. The next prime is 631791073. The reversal of 631791072 is 270197136.

It is a happy number.

631791072 is a `hidden beast` number, since 631 + 7 + 9 + 10 + 7 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631791073) 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, 96547 + ... + 102882.

It is an arithmetic number, because the mean of its divisors is an integer number (27222195).

Almost surely, 2631791072 is an apocalyptic number.

It is an amenable number.

631791072 is an abundant number, since it is smaller than the sum of its proper divisors (1328206968).

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

631791072 is a wasteful number, since it uses less digits than its factorization.

631791072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199456 (or 199445 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 631791072 is about 25135.4544816679. The cubic root of 631791072 is about 858.0735099292.

The spelling of 631791072 in words is "six hundred thirty-one million, seven hundred ninety-one thousand, seventy-two".

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 199429 398858 598287 797716 1196574 1595432 1794861 2193719 2393148 3190864 3589722 4387438 4786296 6381728 6581157 7179444 8774876 9572592 13162314 14358888 17549752 19145184 19743471 26324628 28717776 35099504 39486942 52649256 57435552 70199008 78973884 105298512 157947768 210597024 315895536 631791072