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31382912 = 271131719
BaseRepresentation
bin111011110110…
…1110110000000
32012001102021002
41313231312000
531013223122
63040351132
7530515241
oct167556600
965042232
1031382912
11167954a0
12a6154a8
13666a592
14424ccc8
152b4d992
hex1dedd80

31382912 has 64 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 13785600.

The previous prime is 31382909. The next prime is 31382921. The reversal of 31382912 is 21928313.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43289 + ... + 44007.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 231382912 is an apocalyptic number.

31382912 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 31382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

31382912 is an abundant number, since it is smaller than the sum of its proper divisors (39119488).

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

31382912 is a wasteful number, since it uses less digits than its factorization.

31382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 763 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 31382912 is about 5602.0453407662. The cubic root of 31382912 is about 315.4261872076.

The spelling of 31382912 in words is "thirty-one million, three hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 719 992 1364 1408 1438 1984 2728 2876 3968 5456 5752 7909 10912 11504 15818 21824 22289 23008 31636 43648 44578 46016 63272 89156 92032 126544 178312 245179 253088 356624 490358 506176 713248 980716 1012352 1426496 1961432 2852992 3922864 7845728 15691456 31382912