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31686912 = 283217809
BaseRepresentation
bin111100011100…
…0000100000000
32012121212021100
41320320010000
531102440122
63051054400
7533222445
oct170700400
965555240
1031686912
1116982934
12a741400
136745a6a
1442cb9cc
152badaac
hex1e38100

31686912 has 108 divisors (see below), whose sum is σ = 96854940. Its totient is φ = 9928704.

The previous prime is 31686901. The next prime is 31686917. The reversal of 31686912 is 21968613.

It can be written as a sum of positive squares in 2 ways, for example, as 26378496 + 5308416 = 5136^2 + 2304^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31686917) 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, 38764 + ... + 39572.

It is an arithmetic number, because the mean of its divisors is an integer number (896805).

Almost surely, 231686912 is an apocalyptic number.

31686912 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 31686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48427470).

31686912 is an abundant number, since it is smaller than the sum of its proper divisors (65168028).

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

31686912 is a wasteful number, since it uses less digits than its factorization.

31686912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 831 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 31686912 is about 5629.1128963630. The cubic root of 31686912 is about 316.4414063122.

The spelling of 31686912 in words is "thirty-one million, six hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 809 816 1088 1152 1224 1618 1632 2176 2304 2427 2448 3236 3264 4352 4854 4896 6472 6528 7281 9708 9792 12944 13056 13753 14562 19416 19584 25888 27506 29124 38832 39168 41259 51776 55012 58248 77664 82518 103552 110024 116496 123777 155328 165036 207104 220048 232992 247554 310656 330072 440096 465984 495108 621312 660144 880192 931968 990216 1320288 1760384 1863936 1980432 2640576 3520768 3960864 5281152 7921728 10562304 15843456 31686912