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31325742 = 2327298573
BaseRepresentation
bin111011101111…
…1111000101110
32011221111211200
41313133320232
531004410432
63035230330
7530156460
oct167377056
964844750
1031325742
1116756548
12a5a83a6
13664a556
144236130
152b3ba7c
hex1ddfe2e

31325742 has 48 divisors (see below), whose sum is σ = 80252640. Its totient is φ = 8640576.

The previous prime is 31325741. The next prime is 31325753. The reversal of 31325742 is 24752313.

It is a super-2 number, since 2×313257422 = 1962604223701128, which contains 22 as substring.

31325742 is a modest number, since divided by 5742 gives 3132 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31325741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633 + ... + 7940.

It is an arithmetic number, because the mean of its divisors is an integer number (1671930).

Almost surely, 231325742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31325742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40126320).

31325742 is an abundant number, since it is smaller than the sum of its proper divisors (48926898).

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

31325742 is a wasteful number, since it uses less digits than its factorization.

31325742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617 (or 8614 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 31325742 is about 5596.9404141906. The cubic root of 31325742 is about 315.2345343280.

The spelling of 31325742 in words is "thirty-one million, three hundred twenty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 8573 17146 25719 51438 60011 77157 120022 154314 180033 248617 360066 497234 540099 745851 1080198 1491702 1740319 2237553 3480638 4475106 5220957 10441914 15662871 31325742