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31164912 = 2434139173
BaseRepresentation
bin111011011100…
…0100111110000
32011122100020000
41312320213300
530434234122
63031550000
7525616542
oct166704760
964570200
1031164912
1116656729
12a52b300
1365c229c
1441d3692
152b090ac
hex1db89f0

31164912 has 100 divisors (see below), whose sum is σ = 91374360. Its totient is φ = 10253952.

The previous prime is 31164907. The next prime is 31164929. The reversal of 31164912 is 21946113.

31164912 is a `hidden beast` number, since 3 + 1 + 1 + 649 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180058 + ... + 180230.

Almost surely, 231164912 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 31164912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45687180).

31164912 is an abundant number, since it is smaller than the sum of its proper divisors (60209448).

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

31164912 is a wasteful number, since it uses less digits than its factorization.

31164912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 31164912 is about 5582.5542541027. The cubic root of 31164912 is about 314.6941248502.

The spelling of 31164912 in words is "thirty-one million, one hundred sixty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 173 216 278 324 346 417 432 519 556 648 692 834 1038 1112 1251 1296 1384 1557 1668 2076 2224 2502 2768 3114 3336 3753 4152 4671 5004 6228 6672 7506 8304 9342 10008 11259 12456 14013 15012 18684 20016 22518 24047 24912 28026 30024 37368 45036 48094 56052 60048 72141 74736 90072 96188 112104 144282 180144 192376 216423 224208 288564 384752 432846 577128 649269 865692 1154256 1298538 1731384 1947807 2597076 3462768 3895614 5194152 7791228 10388304 15582456 31164912