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641376624 = 24379532003
BaseRepresentation
bin100110001110101…
…010000101110000
31122200212022022210
4212032222011300
52303143022444
6143350532120
721615416460
oct4616520560
91580768283
10641376624
112aa049829
1215a967040
13a2b54bc5
1461277ba0
153b4927b9
hex263aa170

641376624 has 80 divisors (see below), whose sum is σ = 1896521472. Its totient is φ = 182966784.

The previous prime is 641376581. The next prime is 641376649. The reversal of 641376624 is 426673146.

It is a happy number.

It is a super-2 number, since 2×6413766242 = 822727947627274752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319207 + ... + 321209.

Almost surely, 2641376624 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 641376624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948260736).

641376624 is an abundant number, since it is smaller than the sum of its proper divisors (1255144848).

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

641376624 is a wasteful number, since it uses less digits than its factorization.

641376624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2968 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 641376624 is about 25325.4145869322. The cubic root of 641376624 is about 862.3913182109.

The spelling of 641376624 in words is "six hundred forty-one million, three hundred seventy-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 953 1906 2003 2859 3812 4006 5718 6009 6671 7624 8012 11436 12018 13342 14021 15248 16024 20013 22872 24036 26684 28042 32048 40026 42063 45744 48072 53368 56084 80052 84126 96144 106736 112168 160104 168252 224336 320208 336504 673008 1908859 3817718 5726577 7635436 11453154 13362013 15270872 22906308 26724026 30541744 40086039 45812616 53448052 80172078 91625232 106896104 160344156 213792208 320688312 641376624