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31142912 = 210171789
BaseRepresentation
bin111011011001…
…1010000000000
32011121020001012
41312303100000
530433033122
63031300052
7525465443
oct166632000
964536035
1031142912
1116641149
12a51a628
1365b5278
1441c965a
152b027e2
hex1db3400

31142912 has 44 divisors (see below), whose sum is σ = 65954340. Its totient is φ = 14647296.

The previous prime is 31142899. The next prime is 31142921. The reversal of 31142912 is 21924113.

It can be written as a sum of positive squares in 2 ways, for example, as 27206656 + 3936256 = 5216^2 + 1984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16514 + ... + 18302.

Almost surely, 231142912 is an apocalyptic number.

31142912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32977170).

31142912 is an abundant number, since it is smaller than the sum of its proper divisors (34811428).

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

31142912 is a wasteful number, since it uses less digits than its factorization.

31142912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1808 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 31142912 is about 5580.5834820384. The cubic root of 31142912 is about 314.6200575735.

The spelling of 31142912 in words is "thirty-one million, one hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1789 2176 3578 4352 7156 8704 14312 17408 28624 30413 57248 60826 114496 121652 228992 243304 457984 486608 915968 973216 1831936 1946432 3892864 7785728 15571456 31142912