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31379257 = 721349261
BaseRepresentation
bin111011110110…
…0111100111001
32012001020020201
41313230330321
531013114012
63040322201
7530501500
oct167547471
965036221
1031379257
1116792778
12a613361
136668a10
14424b837
152b4c857
hex1decf39

31379257 has 12 divisors (see below), whose sum is σ = 39311076. Its totient is φ = 24827040.

The previous prime is 31379239. The next prime is 31379261. The reversal of 31379257 is 75297313.

It can be written as a sum of positive squares in 2 ways, for example, as 6817321 + 24561936 = 2611^2 + 4956^2 .

It is not a de Polignac number, because 31379257 - 27 = 31379129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31379057) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23994 + ... + 25267.

It is an arithmetic number, because the mean of its divisors is an integer number (3275923).

Almost surely, 231379257 is an apocalyptic number.

It is an amenable number.

31379257 is a deficient number, since it is larger than the sum of its proper divisors (7931819).

31379257 is a wasteful number, since it uses less digits than its factorization.

31379257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49288 (or 49281 counting only the distinct ones).

The product of its digits is 39690, while the sum is 37.

The square root of 31379257 is about 5601.7191111301. The cubic root of 31379257 is about 315.4139413982.

The spelling of 31379257 in words is "thirty-one million, three hundred seventy-nine thousand, two hundred fifty-seven".

Divisors: 1 7 13 49 91 637 49261 344827 640393 2413789 4482751 31379257