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3131492 = 2272131229
BaseRepresentation
bin1011111100100001100100
312220002121012
423330201210
51300201432
6151041352
735421500
oct13744144
95802535
103131492
111849811
121070258
13858470
145b7300
1541ccb2
hex2fc864

3131492 has 36 divisors (see below), whose sum is σ = 6870780. Its totient is φ = 1237824.

The previous prime is 3131489. The next prime is 3131497. The reversal of 3131492 is 2941313.

3131492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1999396 + 1132096 = 1414^2 + 1064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131497) 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 11 ways as a sum of consecutive naturals, for example, 1934 + ... + 3162.

It is an arithmetic number, because the mean of its divisors is an integer number (190855).

Almost surely, 23131492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435390).

3131492 is an abundant number, since it is smaller than the sum of its proper divisors (3739288).

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

3131492 is a wasteful number, since it uses less digits than its factorization.

3131492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1251 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 3131492 is about 1769.6022151885. The cubic root of 3131492 is about 146.3020580741.

The spelling of 3131492 in words is "three million, one hundred thirty-one thousand, four hundred ninety-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1229 1274 2458 2548 4916 8603 15977 17206 31954 34412 60221 63908 111839 120442 223678 240884 447356 782873 1565746 3131492