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431679125 = 5316132141
BaseRepresentation
bin11001101110101…
…110011010010101
31010002021120102202
4121232232122111
51341002213000
6110500214245
713461132503
oct3156563225
91102246382
10431679125
11201742a09
1210069a385
136b583947
144148d673
1527d6edd5
hex19bae695

431679125 has 16 divisors (see below), whose sum is σ = 539321328. Its totient is φ = 344968000.

The previous prime is 431679109. The next prime is 431679133. The reversal of 431679125 is 521976134.

It can be written as a sum of positive squares in 8 ways, for example, as 28111204 + 403567921 = 5302^2 + 20089^2 .

It is not a de Polignac number, because 431679125 - 24 = 431679109 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 200555 + ... + 202695.

It is an arithmetic number, because the mean of its divisors is an integer number (33707583).

Almost surely, 2431679125 is an apocalyptic number.

It is an amenable number.

431679125 is a deficient number, since it is larger than the sum of its proper divisors (107642203).

431679125 is a wasteful number, since it uses less digits than its factorization.

431679125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3759 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 431679125 is about 20776.8892041133. The cubic root of 431679125 is about 755.7654182227.

The spelling of 431679125 in words is "four hundred thirty-one million, six hundred seventy-nine thousand, one hundred twenty-five".

Divisors: 1 5 25 125 1613 2141 8065 10705 40325 53525 201625 267625 3453433 17267165 86335825 431679125