Search a number
-
+
56005173 = 3271137867
BaseRepresentation
bin1101010110100…
…1001000110101
310220101100122200
43111221020311
5103314131143
65320215113
71250015250
oct325511065
9126340580
1056005173
1129682574
121690a499
13b7ab873
14761c097
154db41d3
hex3569235

56005173 has 24 divisors (see below), whose sum is σ = 93283008. Its totient is φ = 31715712.

The previous prime is 56005171. The next prime is 56005199. The reversal of 56005173 is 37150065.

56005173 is a `hidden beast` number, since 5 + 600 + 51 + 7 + 3 = 666.

56005173 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56005173 - 21 = 56005171 is a prime.

It is a super-3 number, since 3×560051733 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56005171) 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, 3186 + ... + 11052.

It is an arithmetic number, because the mean of its divisors is an integer number (3886792).

Almost surely, 256005173 is an apocalyptic number.

It is an amenable number.

56005173 is a deficient number, since it is larger than the sum of its proper divisors (37277835).

56005173 is a wasteful number, since it uses less digits than its factorization.

56005173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 56005173 is about 7483.6604011673. The cubic root of 56005173 is about 382.5980166596.

The spelling of 56005173 in words is "fifty-six million, five thousand, one hundred seventy-three".

Divisors: 1 3 7 9 21 63 113 339 791 1017 2373 7119 7867 23601 55069 70803 165207 495621 888971 2666913 6222797 8000739 18668391 56005173