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504975331 = 7219542401
BaseRepresentation
bin11110000110010…
…100111111100011
31022012012101221001
4132012110333203
52013233202311
6122035212431
715341135200
oct3606247743
91265171831
10504975331
1123a055493
12121147117
1380807893
144b0ccca7
152e4ec4c1
hex1e194fe3

504975331 has 12 divisors (see below), whose sum is σ = 618338280. Its totient is φ = 410054400.

The previous prime is 504975329. The next prime is 504975343. The reversal of 504975331 is 133579405.

It is not a de Polignac number, because 504975331 - 21 = 504975329 is a prime.

It is a super-3 number, since 3×5049753313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (504975931) 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 11 ways as a sum of consecutive naturals, for example, 270270 + ... + 272131.

It is an arithmetic number, because the mean of its divisors is an integer number (51528190).

Almost surely, 2504975331 is an apocalyptic number.

504975331 is a deficient number, since it is larger than the sum of its proper divisors (113362949).

504975331 is a wasteful number, since it uses less digits than its factorization.

504975331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542434 (or 542427 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 504975331 is about 22471.6561694949. The cubic root of 504975331 is about 796.3244570715.

The spelling of 504975331 in words is "five hundred four million, nine hundred seventy-five thousand, three hundred thirty-one".

Divisors: 1 7 19 49 133 931 542401 3796807 10305619 26577649 72139333 504975331