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31044096 = 29326737
BaseRepresentation
bin111011001101…
…1001000000000
32011102012111100
41312123020000
530421402341
63025214400
7524604366
oct166331000
964365440
1031044096
1116583986
12a491400
13657c2b5
1441a1636
152ad33b6
hex1d9b200

31044096 has 60 divisors (see below), whose sum is σ = 89608662. Its totient is φ = 10346496.

The previous prime is 31044049. The next prime is 31044109. The reversal of 31044096 is 69044013.

It can be written as a sum of positive squares in only one way, i.e., 26378496 + 4665600 = 5136^2 + 2160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1240 + ... + 7976.

Almost surely, 231044096 is an apocalyptic number.

31044096 is a gapful number since it is divisible by the number (36) 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 31044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44804331).

31044096 is an abundant number, since it is smaller than the sum of its proper divisors (58564566).

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

31044096 is an equidigital number, since it uses as much as digits as its factorization.

31044096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 31044096 is about 5571.7228933248. The cubic root of 31044096 is about 314.2869434033.

The spelling of 31044096 in words is "thirty-one million, forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 6737 13474 20211 26948 40422 53896 60633 80844 107792 121266 161688 215584 242532 323376 431168 485064 646752 862336 970128 1293504 1724672 1940256 2587008 3449344 3880512 5174016 7761024 10348032 15522048 31044096