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56331444 = 223132631373
BaseRepresentation
bin1101011011100…
…0110010110100
310220222221012210
43112320302310
5103410101234
65331213420
71252544421
oct326706264
9126887183
1056331444
1129885714
1216a47270
13b894220
1476a4d48
154e2abe9
hex35b8cb4

56331444 has 48 divisors (see below), whose sum is σ = 142192512. Its totient is φ = 17254272.

The previous prime is 56331397. The next prime is 56331449. The reversal of 56331444 is 44413365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56331449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40342 + ... + 41714.

It is an arithmetic number, because the mean of its divisors is an integer number (2962344).

Almost surely, 256331444 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 56331444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71096256).

56331444 is an abundant number, since it is smaller than the sum of its proper divisors (85861068).

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

56331444 is a wasteful number, since it uses less digits than its factorization.

56331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1654 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 56331444 is about 7505.4276360511. The cubic root of 56331444 is about 383.3395494056.

The spelling of 56331444 in words is "fifty-six million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 263 526 789 1052 1373 1578 2746 3156 3419 4119 5492 6838 8238 10257 13676 16476 17849 20514 35698 41028 53547 71396 107094 214188 361099 722198 1083297 1444396 2166594 4333188 4694287 9388574 14082861 18777148 28165722 56331444