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641382100 = 22526413821
BaseRepresentation
bin100110001110101…
…011011011010100
31122200212120211121
4212032223123110
52303143211400
6143351013324
721615441442
oct4616533324
91580776747
10641382100
112aa052957
1215a96a244
13a2b57548
1461279b92
153b49421a
hex263ab6d4

641382100 has 18 divisors (see below), whose sum is σ = 1391799374. Its totient is φ = 256552800.

The previous prime is 641382083. The next prime is 641382127. The reversal of 641382100 is 1283146.

It can be written as a sum of positive squares in 3 ways, for example, as 6140484 + 635241616 = 2478^2 + 25204^2 .

It is a super-2 number, since 2×6413821002 = 822741996400820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3206811 + ... + 3207010.

Almost surely, 2641382100 is an apocalyptic number.

It is an amenable number.

641382100 is an abundant number, since it is smaller than the sum of its proper divisors (750417274).

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

641382100 is a wasteful number, since it uses less digits than its factorization.

641382100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6413835 (or 6413828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 641382100 is about 25325.5226994429. The cubic root of 641382100 is about 862.3937725366.

The spelling of 641382100 in words is "six hundred forty-one million, three hundred eighty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6413821 12827642 25655284 32069105 64138210 128276420 160345525 320691050 641382100