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56318085 = 345241577
BaseRepresentation
bin1101011011010…
…1100010000101
310220222020220000
43112311202011
5103404134320
65331031513
71252460445
oct326654205
9126866800
1056318085
112987667a
1216a3b599
13b88b115
1476a0125
154e26c90
hex35b5885

56318085 has 40 divisors (see below), whose sum is σ = 101549976. Its totient is φ = 29859840.

The previous prime is 56318083. The next prime is 56318111. The reversal of 56318085 is 58081365.

56318085 is a `hidden beast` number, since 563 + 18 + 0 + 85 = 666.

56318085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29257281 + 27060804 = 5409^2 + 5202^2 .

It is not a de Polignac number, because 56318085 - 21 = 56318083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56318081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97317 + ... + 97893.

Almost surely, 256318085 is an apocalyptic number.

It is an amenable number.

56318085 is a deficient number, since it is larger than the sum of its proper divisors (45231891).

56318085 is a wasteful number, since it uses less digits than its factorization.

56318085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 56318085 is about 7504.5376273292. The cubic root of 56318085 is about 383.3092440229.

The spelling of 56318085 in words is "fifty-six million, three hundred eighteen thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 241 405 577 723 1205 1731 2169 2885 3615 5193 6507 8655 10845 15579 19521 25965 32535 46737 77895 97605 139057 233685 417171 695285 1251513 2085855 3754539 6257565 11263617 18772695 56318085