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31107492 = 22321325113
BaseRepresentation
bin111011010101…
…0100110100100
32011112102110100
41312222212210
530430414432
63030424100
7525260253
oct166524644
964472410
1031107492
1116617579
12a502030
1365a2100
1441ba79a
152ae707c
hex1daa9a4

31107492 has 54 divisors (see below), whose sum is σ = 85163442. Its totient is φ = 9569664.

The previous prime is 31107469. The next prime is 31107493. The reversal of 31107492 is 29470113.

It can be written as a sum of positive squares in 3 ways, for example, as 3481956 + 27625536 = 1866^2 + 5256^2 .

It is not an unprimeable number, because it can be changed into a prime (31107493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3528 + ... + 8640.

Almost surely, 231107492 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 31107492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42581721).

31107492 is an abundant number, since it is smaller than the sum of its proper divisors (54055950).

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

31107492 is a wasteful number, since it uses less digits than its factorization.

31107492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 31107492 is about 5577.4090759061. The cubic root of 31107492 is about 314.5007359348.

The spelling of 31107492 in words is "thirty-one million, one hundred seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 5113 6084 10226 15339 20452 30678 46017 61356 66469 92034 132938 184068 199407 265876 398814 598221 797628 864097 1196442 1728194 2392884 2592291 3456388 5184582 7776873 10369164 15553746 31107492