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505664793 = 32293375749
BaseRepresentation
bin11110001000111…
…101010100011001
31022020111102200200
4132020331110121
52013422233133
6122102052413
715350036244
oct3610752431
91266442620
10505664793
1123a486497
1212141a109
13809b964a
144b22c25b
152e5d6913
hex1e23d519

505664793 has 24 divisors (see below), whose sum is σ = 757965000. Its totient is φ = 324463104.

The previous prime is 505664743. The next prime is 505664827. The reversal of 505664793 is 397466505.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 504766089 = 948^2 + 22467^2 .

It is not a de Polignac number, because 505664793 - 218 = 505402649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505664713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85083 + ... + 90831.

It is an arithmetic number, because the mean of its divisors is an integer number (31581875).

Almost surely, 2505664793 is an apocalyptic number.

It is an amenable number.

505664793 is a deficient number, since it is larger than the sum of its proper divisors (252300207).

505664793 is a wasteful number, since it uses less digits than its factorization.

505664793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 505664793 is about 22486.9916396124. The cubic root of 505664793 is about 796.6867095985.

The spelling of 505664793 in words is "five hundred five million, six hundred sixty-four thousand, seven hundred ninety-three".

Divisors: 1 3 9 29 87 261 337 1011 3033 5749 9773 17247 29319 51741 87957 166721 500163 1500489 1937413 5812239 17436717 56184977 168554931 505664793