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157831431 = 3596713309
BaseRepresentation
bin10010110100001…
…01000100000111
3101222222200000120
421122011010013
5310401101211
623354513023
73624354642
oct1132050407
9358880016
10157831431
11811010aa
1244a35773
13269116a4
1416d66a59
15dcc9d06
hex9685107

157831431 has 16 divisors (see below), whose sum is σ = 217219200. Its totient is φ = 101886048.

The previous prime is 157831397. The next prime is 157831439. The reversal of 157831431 is 134138751.

It is not a de Polignac number, because 157831431 - 217 = 157700359 is a prime.

It is a super-2 number, since 2×1578314312 = 49821521223015522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157831392 and 157831401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157831439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5205 + ... + 18513.

It is an arithmetic number, because the mean of its divisors is an integer number (13576200).

Almost surely, 2157831431 is an apocalyptic number.

157831431 is a deficient number, since it is larger than the sum of its proper divisors (59387769).

157831431 is a wasteful number, since it uses less digits than its factorization.

157831431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13438.

The product of its digits is 10080, while the sum is 33.

The square root of 157831431 is about 12563.0979857677. The cubic root of 157831431 is about 540.4196908763.

The spelling of 157831431 in words is "one hundred fifty-seven million, eight hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 59 67 177 201 3953 11859 13309 39927 785231 891703 2355693 2675109 52610477 157831431