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56003072 = 29891229
BaseRepresentation
bin1101010110100…
…0101000000000
310220101020202212
43111220220000
5103314044242
65320201252
71250006156
oct325505000
9126336685
1056003072
1129680a34
1216909228
13b7aa918
14761b3d6
154db3782
hex3568a00

56003072 has 40 divisors (see below), whose sum is σ = 113246100. Its totient is φ = 27664384.

The previous prime is 56003069. The next prime is 56003093. The reversal of 56003072 is 27030065.

It can be written as a sum of positive squares in 2 ways, for example, as 54405376 + 1597696 = 7376^2 + 1264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44954 + ... + 46182.

Almost surely, 256003072 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 56003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56623050).

56003072 is an abundant number, since it is smaller than the sum of its proper divisors (57243028).

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

56003072 is an equidigital number, since it uses as much as digits as its factorization.

56003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 56003072 is about 7483.5200273668. The cubic root of 56003072 is about 382.5932322892.

The spelling of 56003072 in words is "fifty-six million, three thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1229 1424 2458 2848 4916 5696 9832 11392 19664 22784 39328 45568 78656 109381 157312 218762 314624 437524 629248 875048 1750096 3500192 7000384 14000768 28001536 56003072