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642124825 = 5237694189
BaseRepresentation
bin100110010001100…
…000110000011001
31122202021022122221
4212101200300121
52303340443300
6143414544041
721624654016
oct4621406031
91582238587
10642124825
112aa50a981
1215b068021
13a3057624
14613d070d
153b58e31a
hex26460c19

642124825 has 12 divisors (see below), whose sum is σ = 817755820. Its totient is φ = 499815360.

The previous prime is 642124807. The next prime is 642124843. The reversal of 642124825 is 528421246.

It is an interprime number because it is at equal distance from previous prime (642124807) and next prime (642124843).

It can be written as a sum of positive squares in 6 ways, for example, as 8696601 + 633428224 = 2949^2 + 25168^2 .

It is not a de Polignac number, because 642124825 - 29 = 642124313 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346170 + ... + 348019.

Almost surely, 2642124825 is an apocalyptic number.

It is an amenable number.

642124825 is a deficient number, since it is larger than the sum of its proper divisors (175630995).

642124825 is a wasteful number, since it uses less digits than its factorization.

642124825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694236 (or 694231 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 642124825 is about 25340.1820238135. The cubic root of 642124825 is about 862.7265301501.

The spelling of 642124825 in words is "six hundred forty-two million, one hundred twenty-four thousand, eight hundred twenty-five".

Divisors: 1 5 25 37 185 925 694189 3470945 17354725 25684993 128424965 642124825