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641630808 = 2337713231
BaseRepresentation
bin100110001111101…
…000001001011000
31122201100020000000
4212033220021120
52303224141213
6143400213000
721620525520
oct4617501130
91581306000
10641630808
112aa2027a5
1215aa6a160
13a2c13800
1461302680
153b4e2c73
hex263e8258

641630808 has 384 divisors, whose sum is σ = 2304921600. Its totient is φ = 163762560.

The previous prime is 641630807. The next prime is 641630831. The reversal of 641630808 is 808036146.

It is a happy number.

641630808 is a `hidden beast` number, since 641 + 6 + 3 + 0 + 8 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641630807) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 20697753 + ... + 20697783.

It is an arithmetic number, because the mean of its divisors is an integer number (6002400).

Almost surely, 2641630808 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 641630808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152460800).

641630808 is an abundant number, since it is smaller than the sum of its proper divisors (1663290792).

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

641630808 is a wasteful number, since it uses less digits than its factorization.

641630808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 641630808 is about 25330.4324479469. The cubic root of 641630808 is about 862.5052279456.

The spelling of 641630808 in words is "six hundred forty-one million, six hundred thirty thousand, eight hundred eight".