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631267164 = 2232112313463
BaseRepresentation
bin100101101000000…
…101111101011100
31121222211200202100
4211220011331130
52243101022124
6142350125100
721433453023
oct4550057534
91558750670
10631267164
112a4374400
121574b0790
13a0a25588
145dba58ba
153a6471c9
hex25a05f5c

631267164 has 108 divisors (see below), whose sum is σ = 1763358688. Its totient is φ = 190270080.

The previous prime is 631267159. The next prime is 631267183. The reversal of 631267164 is 461762136.

It is a happy number.

631267164 is a `hidden beast` number, since 631 + 2 + 6 + 7 + 16 + 4 = 666.

631267164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1363197 + ... + 1363659.

Almost surely, 2631267164 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 631267164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881679344).

631267164 is an abundant number, since it is smaller than the sum of its proper divisors (1132091524).

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

631267164 is a wasteful number, since it uses less digits than its factorization.

631267164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 792 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 631267164 is about 25125.0306268470. The cubic root of 631267164 is about 857.8362606675.

The spelling of 631267164 in words is "six hundred thirty-one million, two hundred sixty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 313 363 396 463 484 626 726 926 939 1089 1252 1389 1452 1852 1878 2178 2778 2817 3443 3756 4167 4356 5093 5556 5634 6886 8334 10186 10329 11268 13772 15279 16668 20372 20658 30558 30987 37873 41316 45837 56023 61116 61974 75746 91674 112046 113619 123948 144919 151492 168069 183348 224092 227238 289838 336138 340857 434757 454476 504207 579676 672276 681714 869514 1008414 1304271 1363428 1594109 1739028 2016828 2608542 3188218 4782327 5217084 6376436 9564654 14346981 17535199 19129308 28693962 35070398 52605597 57387924 70140796 105211194 157816791 210422388 315633582 631267164