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631614672 = 24341337489
BaseRepresentation
bin100101101001011…
…010110011010000
31122000111100110000
4211221122303100
52243143132142
6142401410000
721436431123
oct4551326320
91560440400
10631614672
112a45914a7
12157639900
13a0b177c0
145dc563ba
153a6b514c
hex25a5acd0

631614672 has 100 divisors (see below), whose sum is σ = 1968749860. Its totient is φ = 194337792.

The previous prime is 631614667. The next prime is 631614689. The reversal of 631614672 is 276416136.

It is a happy number.

631614672 is a `hidden beast` number, since 6 + 31 + 614 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 358572096 + 273042576 = 18936^2 + 16524^2 .

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1897 + ... + 35592.

Almost surely, 2631614672 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 631614672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984374930).

631614672 is an abundant number, since it is smaller than the sum of its proper divisors (1337135188).

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

631614672 is a wasteful number, since it uses less digits than its factorization.

631614672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37522 (or 37507 counting only the distinct ones).

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

The square root of 631614672 is about 25131.9452490252. The cubic root of 631614672 is about 857.9936426738.

The spelling of 631614672 in words is "six hundred thirty-one million, six hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 37489 74978 112467 149956 224934 299912 337401 449868 487357 599824 674802 899736 974714 1012203 1349604 1462071 1799472 1949428 2024406 2699208 2924142 3036609 3898856 4048812 4386213 5398416 5848284 6073218 7797712 8097624 8772426 11696568 12146436 13158639 16195248 17544852 23393136 24292872 26317278 35089704 39475917 48585744 52634556 70179408 78951834 105269112 157903668 210538224 315807336 631614672