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56387565 = 32513113853
BaseRepresentation
bin1101011100011…
…0011111101101
310221002210012100
43113012133231
5103413400230
65332325313
71253200143
oct327063755
9127083170
1056387565
11299138a3
1216a73839
13b8b3930
1476bb593
154e3c660
hex35c67ed

56387565 has 48 divisors (see below), whose sum is σ = 106312752. Its totient is φ = 27482112.

The previous prime is 56387563. The next prime is 56387579. The reversal of 56387565 is 56578365.

56387565 is a `hidden beast` number, since 5 + 6 + 3 + 87 + 565 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32592681 + 23794884 = 5709^2 + 4878^2 .

It is not a de Polignac number, because 56387565 - 21 = 56387563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 56387565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56387563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65679 + ... + 66531.

It is an arithmetic number, because the mean of its divisors is an integer number (2214849).

Almost surely, 256387565 is an apocalyptic number.

It is an amenable number.

56387565 is a deficient number, since it is larger than the sum of its proper divisors (49925187).

56387565 is a wasteful number, since it uses less digits than its factorization.

56387565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 987 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 56387565 is about 7509.1653996966. The cubic root of 56387565 is about 383.4668096409.

It can be divided in two parts, 5638 and 7565, that added together give a triangular number (13203 = T162).

The spelling of 56387565 in words is "fifty-six million, three hundred eighty-seven thousand, five hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 113 117 195 339 565 585 853 1017 1469 1695 2559 4265 4407 5085 7345 7677 11089 12795 13221 22035 33267 38385 55445 66105 96389 99801 166335 289167 481945 499005 867501 1253057 1445835 3759171 4337505 6265285 11277513 18795855 56387565