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642096756 = 223272548003
BaseRepresentation
bin100110010001011…
…001111001110100
31122202012220011100
4212101121321310
52303334044011
6143414210100
721624506130
oct4621317164
91582186140
10642096756
112aa4a0884
1215b053930
13a3047912
14613c43c0
153b585d56
hex26459e74

642096756 has 36 divisors (see below), whose sum is σ = 1854946912. Its totient is φ = 183456144.

The previous prime is 642096737. The next prime is 642096757. The reversal of 642096756 is 657690246.

642096756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642096757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1273750 + ... + 1274253.

Almost surely, 2642096756 is an apocalyptic number.

It is an amenable number.

642096756 is an abundant number, since it is smaller than the sum of its proper divisors (1212850156).

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

642096756 is a wasteful number, since it uses less digits than its factorization.

642096756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548020 (or 2548015 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 642096756 is about 25339.6281740676. The cubic root of 642096756 is about 862.7139592694.

The spelling of 642096756 in words is "six hundred forty-two million, ninety-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2548003 5096006 7644009 10192012 15288018 17836021 22932027 30576036 35672042 45864054 53508063 71344084 91728108 107016126 160524189 214032252 321048378 642096756