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31252 = 2213601
BaseRepresentation
bin111101000010100
31120212111
413220110
52000002
6400404
7160054
oct75024
946774
1031252
1121531
1216104
13112c0
14b564
1593d7
hex7a14

31252 has 12 divisors (see below), whose sum is σ = 58996. Its totient is φ = 14400.

The previous prime is 31249. The next prime is 31253. The reversal of 31252 is 25213.

31252 = T123 + T124 + ... + T126.

31252 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 15876 = 124^2 + 126^2 .

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 249 + ... + 352.

31252 is a Friedman number, since it can be written as 2*((5^2)^3+1), using all its digits and the basic arithmetic operations.

231252 is an apocalyptic number.

It is an amenable number.

31252 is a deficient number, since it is larger than the sum of its proper divisors (27744).

31252 is a wasteful number, since it uses less digits than its factorization.

31252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 616 counting only the distinct ones).

The product of its digits is 60, while the sum is 13.

The square root of 31252 is about 176.7823520604. The cubic root of 31252 is about 31.4986981909.

Adding to 31252 its reverse (25213), we get a palindrome (56465).

The spelling of 31252 in words is "thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 13 26 52 601 1202 2404 7813 15626 31252