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641393536 = 27742087
BaseRepresentation
bin100110001110101…
…110001110000000
31122200220011112011
4212032232032000
52303144043121
6143351142304
721615520000
oct4616561600
91580804464
10641393536
112aa060503
1215a974994
13a2b5c804
1461280000
153b4977e1
hex263ae380

641393536 has 80 divisors (see below), whose sum is σ = 1491364440. Its totient is φ = 274751232.

The previous prime is 641393509. The next prime is 641393573. The reversal of 641393536 is 635393146.

It is a super-2 number, since 2×6413935362 = 822771336045166592, which contains 22 as substring.

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 9 ways as a sum of consecutive naturals, for example, 306285 + ... + 308371.

Almost surely, 2641393536 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 641393536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745682220).

641393536 is an abundant number, since it is smaller than the sum of its proper divisors (849970904).

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

641393536 is an frugal number, since it uses more digits than its factorization.

641393536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2096 counting only the distinct ones).

The product of its digits is 174960, while the sum is 40.

The square root of 641393536 is about 25325.7484785741. The cubic root of 641393536 is about 862.3988980702.

The spelling of 641393536 in words is "six hundred forty-one million, three hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2087 2401 2744 3136 4174 4802 5488 6272 8348 9604 10976 14609 16696 19208 21952 29218 33392 38416 43904 58436 66784 76832 102263 116872 133568 153664 204526 233744 267136 307328 409052 467488 715841 818104 934976 1431682 1636208 1869952 2863364 3272416 5010887 5726728 6544832 10021774 11453456 13089664 20043548 22906912 40087096 45813824 80174192 91627648 160348384 320696768 641393536