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56217106 = 21123241461
BaseRepresentation
bin1101011001110…
…0111000010010
310220210010101001
43112130320102
5103342421411
65324532214
71251560161
oct326347022
9126703331
1056217106
1129807820
12169b106a
13b85417a
1476753d8
154e06dc1
hex359ce12

56217106 has 32 divisors (see below), whose sum is σ = 96598656. Its totient is φ = 24288000.

The previous prime is 56217089. The next prime is 56217107. The reversal of 56217106 is 60171265.

56217106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

56217106 is a nontrivial binomial coefficient, being equal to C(10604, 2).

It is a super-4 number, since 4×562171064 (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (56217107) 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 15 ways as a sum of consecutive naturals, for example, 121716 + ... + 122176.

It is an arithmetic number, because the mean of its divisors is an integer number (3018708).

Almost surely, 256217106 is an apocalyptic number.

56217106 is the 10603-rd triangular number and also the 5302-nd hexagonal number.

56217106 is the 3535-th centered nonagonal number.

56217106 is a deficient number, since it is larger than the sum of its proper divisors (40381550).

56217106 is a wasteful number, since it uses less digits than its factorization.

56217106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 56217106 is about 7497.8067459758. The cubic root of 56217106 is about 383.0800142780.

The spelling of 56217106 in words is "fifty-six million, two hundred seventeen thousand, one hundred six".

Divisors: 1 2 11 22 23 46 241 253 461 482 506 922 2651 5071 5302 5543 10142 10603 11086 21206 60973 111101 116633 121946 222202 233266 1222111 2444222 2555323 5110646 28108553 56217106