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642636405 = 32547311977
BaseRepresentation
bin100110010011011…
…101101001110101
31122210020022102100
4212103131221311
52304003331110
6143433532313
721632214345
oct4623355165
91583208370
10642636405
112aa82a274
1215b274099
13a31a6438
14614c4d25
153b640bc0
hex264dda75

642636405 has 48 divisors (see below), whose sum is σ = 1142429184. Its totient is φ = 334026240.

The previous prime is 642636391. The next prime is 642636439. The reversal of 642636405 is 504636246.

642636405 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 3 + 640 + 5 = 666.

It is not a de Polignac number, because 642636405 - 24 = 642636389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 642636405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657277 + ... + 658253.

It is an arithmetic number, because the mean of its divisors is an integer number (23800608).

Almost surely, 2642636405 is an apocalyptic number.

It is an amenable number.

642636405 is a deficient number, since it is larger than the sum of its proper divisors (499792779).

642636405 is a wasteful number, since it uses less digits than its factorization.

642636405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 642636405 is about 25350.2742588714. The cubic root of 642636405 is about 862.9555803619.

The spelling of 642636405 in words is "six hundred forty-two million, six hundred thirty-six thousand, four hundred five".

Divisors: 1 3 5 9 15 45 47 141 235 311 423 705 933 977 1555 2115 2799 2931 4665 4885 8793 13995 14617 14655 43851 43965 45919 73085 131553 137757 219255 229595 303847 413271 657765 688785 911541 1519235 2066355 2734623 4557705 13673115 14280809 42842427 71404045 128527281 214212135 642636405