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629964664 = 237233713219
BaseRepresentation
bin100101100011000…
…111111101111000
31121220101112001121
4211203013331320
52242232332124
6142302155024
721416416450
oct4543077570
91556345047
10629964664
112a366485a
12156b82a74
13a068a774
145d946d60
153a48b2e4
hex258c7f78

629964664 has 64 divisors (see below), whose sum is σ = 1446796800. Its totient is φ = 251247744.

The previous prime is 629964659. The next prime is 629964679. The reversal of 629964664 is 466469926.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41047 + ... + 54265.

It is an arithmetic number, because the mean of its divisors is an integer number (22606200).

Almost surely, 2629964664 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 629964664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723398400).

629964664 is an abundant number, since it is smaller than the sum of its proper divisors (816832136).

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

629964664 is a wasteful number, since it uses less digits than its factorization.

629964664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13292 (or 13288 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 52.

The square root of 629964664 is about 25099.0968761826. The cubic root of 629964664 is about 857.2458603094.

The spelling of 629964664 in words is "six hundred twenty-nine million, nine hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 23 28 37 46 56 74 92 148 161 184 259 296 322 518 644 851 1036 1288 1702 2072 3404 5957 6808 11914 13219 23828 26438 47656 52876 92533 105752 185066 304037 370132 489103 608074 740264 978206 1216148 1956412 2128259 2432296 3423721 3912824 4256518 6847442 8513036 11249369 13694884 17026072 22498738 27389768 44997476 78745583 89994952 157491166 314982332 629964664