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56352105 = 345612281
BaseRepresentation
bin1101011011110…
…1110101101001
310221000222120000
43112331311221
5103411231410
65331453213
71252661565
oct326756551
9127028500
1056352105
112989a197
1216a57209
13b8a0754
1476ac6a5
154e31dc0
hex35bdd69

56352105 has 40 divisors (see below), whose sum is σ = 102717384. Its totient is φ = 29548800.

The previous prime is 56352097. The next prime is 56352151. The reversal of 56352105 is 50125365.

56352105 is a `hidden beast` number, since 5 + 635 + 21 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 281961 + 56070144 = 531^2 + 7488^2 .

It is not a de Polignac number, because 56352105 - 23 = 56352097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 23565 + ... + 25845.

Almost surely, 256352105 is an apocalyptic number.

It is an amenable number.

56352105 is a deficient number, since it is larger than the sum of its proper divisors (46365279).

56352105 is a wasteful number, since it uses less digits than its factorization.

56352105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56352105 is about 7506.8039137838. The cubic root of 56352105 is about 383.3864102099.

The spelling of 56352105 in words is "fifty-six million, three hundred fifty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 61 81 135 183 305 405 549 915 1647 2281 2745 4941 6843 8235 11405 20529 24705 34215 61587 102645 139141 184761 307935 417423 695705 923805 1252269 2087115 3756807 6261345 11270421 18784035 56352105