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631503144 = 233273137877
BaseRepresentation
bin100101101000111…
…111100100101000
31122000021200110100
4211220333210220
52243131100034
6142355145400
721435455016
oct4550774450
91560250410
10631503144
112a4515728
121575a5260
13a0aa8acc
145dc278b6
153a692099
hex25a3f928

631503144 has 96 divisors (see below), whose sum is σ = 1748396520. Its totient is φ = 205867008.

The previous prime is 631503113. The next prime is 631503253. The reversal of 631503144 is 441305136.

631503144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 621504900 + 9998244 = 24930^2 + 3162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719634 + ... + 720510.

Almost surely, 2631503144 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 631503144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874198260).

631503144 is an abundant number, since it is smaller than the sum of its proper divisors (1116893376).

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

631503144 is a wasteful number, since it uses less digits than its factorization.

631503144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 631503144 is about 25129.7263017328. The cubic root of 631503144 is about 857.9431393358.

The spelling of 631503144 in words is "six hundred thirty-one million, five hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 137 146 219 274 292 411 438 548 584 657 822 876 877 1096 1233 1314 1644 1752 1754 2466 2628 2631 3288 3508 4932 5256 5262 7016 7893 9864 10001 10524 15786 20002 21048 30003 31572 40004 60006 63144 64021 80008 90009 120012 120149 128042 180018 192063 240024 240298 256084 360036 360447 384126 480596 512168 576189 720072 720894 768252 961192 1081341 1152378 1441788 1536504 2162682 2304756 2883576 4325364 4609512 8650728 8770877 17541754 26312631 35083508 52625262 70167016 78937893 105250524 157875786 210501048 315751572 631503144