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506162993 = 7210329857
BaseRepresentation
bin11110001010110…
…110111100110001
31022021102202002112
4132022312330301
52014034203433
6122120455105
715354212600
oct3612667461
91267382075
10506162993
1123a796826
1212161a495
1380b3233b
144b31ba37
152e684348
hex1e2b6f31

506162993 has 6 divisors (see below), whose sum is σ = 588801906. Its totient is φ = 433853952.

The previous prime is 506162989. The next prime is 506163037. The reversal of 506162993 is 399261605.

It can be written as a sum of positive squares in only one way, i.e., 492085489 + 14077504 = 22183^2 + 3752^2 .

It is not a de Polignac number, because 506162993 - 22 = 506162989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506162993.

It is not an unprimeable number, because it can be changed into a prime (506162903) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5164880 + ... + 5164977.

It is an arithmetic number, because the mean of its divisors is an integer number (98133651).

Almost surely, 2506162993 is an apocalyptic number.

It is an amenable number.

506162993 is a deficient number, since it is larger than the sum of its proper divisors (82638913).

506162993 is a wasteful number, since it uses less digits than its factorization.

506162993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329871 (or 10329864 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 506162993 is about 22498.0664280289. The cubic root of 506162993 is about 796.9482656369.

The spelling of 506162993 in words is "five hundred six million, one hundred sixty-two thousand, nine hundred ninety-three".

Divisors: 1 7 49 10329857 72308999 506162993