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641380824 = 233273141051
BaseRepresentation
bin100110001110101…
…011000111011000
31122200212112002100
4212032223013120
52303143141244
6143351003400
721615434640
oct4616530730
91580775070
10641380824
112aa0519a7
1215a969560
13a2b56aa6
1461279520
153b493b69
hex263ab1d8

641380824 has 96 divisors (see below), whose sum is σ = 2049315840. Its totient is φ = 177336000.

The previous prime is 641380813. The next prime is 641380837. The reversal of 641380824 is 428083146.

641380824 is a `hidden beast` number, since 641 + 3 + 8 + 0 + 8 + 2 + 4 = 666.

641380824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6413808242 = 822738722789837952, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4902 + ... + 36149.

It is an arithmetic number, because the mean of its divisors is an integer number (21347040).

Almost surely, 2641380824 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 641380824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024657920).

641380824 is an abundant number, since it is smaller than the sum of its proper divisors (1407935016).

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

641380824 is a wasteful number, since it uses less digits than its factorization.

641380824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41101 (or 41094 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 641380824 is about 25325.4975074528. The cubic root of 641380824 is about 862.3932006387.

The spelling of 641380824 in words is "six hundred forty-one million, three hundred eighty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 41051 82102 123153 164204 246306 287357 328408 369459 492612 574714 738918 862071 985224 1149428 1272581 1477836 1724142 2298856 2545162 2586213 2955672 3448284 3817743 5090324 5172426 6896568 7635486 8908067 10180648 10344852 11453229 15270972 17816134 20689704 22906458 26724201 30541944 35632268 45812916 53448402 71264536 80172603 91625832 106896804 160345206 213793608 320690412 641380824