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12879252 = 22323471031
BaseRepresentation
bin110001001000…
…010110010100
3220020100000100
4301020112110
511244114002
61140014100
7214320561
oct61102624
926210010
1012879252
1172a7411
124391330
13288c279
1419d3868
1511e611c
hexc48594

12879252 has 36 divisors (see below), whose sum is σ = 32681376. Its totient is φ = 4276560.

The previous prime is 12879247. The next prime is 12879253. The reversal of 12879252 is 25297821.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12879253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11977 + ... + 13007.

It is an arithmetic number, because the mean of its divisors is an integer number (907816).

Almost surely, 212879252 is an apocalyptic number.

12879252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12879252 is an abundant number, since it is smaller than the sum of its proper divisors (19802124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12879252 is a wasteful number, since it uses less digits than its factorization.

12879252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1383 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12879252 is about 3588.7674764465. The cubic root of 12879252 is about 234.4032057788.

It can be divided in two parts, 12879 and 252, that added together give a palindrome (13131).

The spelling of 12879252 in words is "twelve million, eight hundred seventy-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 347 694 1031 1041 1388 2062 2082 3093 3123 4124 4164 6186 6246 9279 12372 12492 18558 37116 357757 715514 1073271 1431028 2146542 3219813 4293084 6439626 12879252