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56505105 = 3253733937
BaseRepresentation
bin1101011110001…
…1001100010001
310221022202102200
43113203030101
5103431130410
65335033413
71254166626
oct327431421
9127282380
1056505105
1129994138
1216b0b869
13b925297
14770c34d
154e623c0
hex35e3311

56505105 has 24 divisors (see below), whose sum is σ = 100592232. Its totient is φ = 29320704.

The previous prime is 56505103. The next prime is 56505131. The reversal of 56505105 is 50150565.

56505105 is a `hidden beast` number, since 5 + 650 + 5 + 1 + 0 + 5 = 666.

56505105 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 34292736 + 22212369 = 5856^2 + 4713^2 .

It is not a de Polignac number, because 56505105 - 21 = 56505103 is a prime.

It is a super-2 number, since 2×565051052 = 6385653782122050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56505103) 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 23 ways as a sum of consecutive naturals, for example, 15304 + ... + 18633.

It is an arithmetic number, because the mean of its divisors is an integer number (4191343).

Almost surely, 256505105 is an apocalyptic number.

It is an amenable number.

56505105 is a deficient number, since it is larger than the sum of its proper divisors (44087127).

56505105 is a wasteful number, since it uses less digits than its factorization.

56505105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33985 (or 33982 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 56505105 is about 7516.9877610649. The cubic root of 56505105 is about 383.7330705147.

The spelling of 56505105 in words is "fifty-six million, five hundred five thousand, one hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 33937 101811 169685 305433 509055 1255669 1527165 3767007 6278345 11301021 18835035 56505105