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56265376 = 2517293353
BaseRepresentation
bin1101011010100…
…0101010100000
310220212120120211
43112220222200
5103400443001
65325543504
71252150666
oct326505240
9126776524
1056265376
1129840012
1216a14b94
13b87012b
147688c36
154e16351
hex35a8aa0

56265376 has 48 divisors (see below), whose sum is σ = 118022184. Its totient is φ = 26312704.

The previous prime is 56265373. The next prime is 56265389. The reversal of 56265376 is 67356265.

It can be written as a sum of positive squares in 4 ways, for example, as 56250000 + 15376 = 7500^2 + 124^2 .

It is not an unprimeable number, because it can be changed into a prime (56265373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159216 + ... + 159568.

Almost surely, 256265376 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 56265376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59011092).

56265376 is an abundant number, since it is smaller than the sum of its proper divisors (61756808).

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

56265376 is a wasteful number, since it uses less digits than its factorization.

56265376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its digits is 226800, while the sum is 40.

The square root of 56265376 is about 7501.0249966255. The cubic root of 56265376 is about 383.1896249387.

The spelling of 56265376 in words is "fifty-six million, two hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 293 353 544 586 706 1172 1412 2344 2824 4688 4981 5648 6001 9376 9962 11296 12002 19924 24004 39848 48008 79696 96016 103429 159392 192032 206858 413716 827432 1654864 1758293 3309728 3516586 7033172 14066344 28132688 56265376