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642624642 = 232113245579
BaseRepresentation
bin100110010011011…
…010110010000010
31122210012201021200
4212103122302002
52304002442032
6143433402030
721632135142
oct4623326202
91583181250
10642624642
112aa821450
1215b269316
13a31a0c8a
14614c0922
153b63c47c
hex264dac82

642624642 has 24 divisors (see below), whose sum is σ = 1518931440. Its totient is φ = 194734680.

The previous prime is 642624607. The next prime is 642624649. The reversal of 642624642 is 246426246.

642624642 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 2 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 642624597 and 642624606.

It is not an unprimeable number, because it can be changed into a prime (642624649) 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 11 ways as a sum of consecutive naturals, for example, 1622592 + ... + 1622987.

It is an arithmetic number, because the mean of its divisors is an integer number (63288810).

Almost surely, 2642624642 is an apocalyptic number.

642624642 is an abundant number, since it is smaller than the sum of its proper divisors (876306798).

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

642624642 is a wasteful number, since it uses less digits than its factorization.

642624642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245598 (or 3245595 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 642624642 is about 25350.0422484855. The cubic root of 642624642 is about 862.9503150681.

The spelling of 642624642 in words is "six hundred forty-two million, six hundred twenty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 3245579 6491158 9736737 19473474 29210211 35701369 58420422 71402738 107104107 214208214 321312321 642624642