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504491041 = 3714099677
BaseRepresentation
bin11110000100011…
…110110000100001
31022011021210121101
4132010132300201
52013122203131
6122020554401
715334050235
oct3604366041
91264253541
10504491041
1123985464a
12120b52a01
1380698312
144b0045c5
152e453c61
hex1e11ec21

504491041 has 8 divisors (see below), whose sum is σ = 518547240. Its totient is φ = 490457088.

The previous prime is 504491033. The next prime is 504491063. The reversal of 504491041 is 140194405.

It can be written as a sum of positive squares in 4 ways, for example, as 68558400 + 435932641 = 8280^2 + 20879^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 504491041 - 23 = 504491033 is a prime.

It is a super-3 number, since 3×5044910413 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (504491011) 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 7 ways as a sum of consecutive naturals, for example, 47295 + ... + 56971.

It is an arithmetic number, because the mean of its divisors is an integer number (64818405).

Almost surely, 2504491041 is an apocalyptic number.

It is an amenable number.

504491041 is a deficient number, since it is larger than the sum of its proper divisors (14056199).

504491041 is a wasteful number, since it uses less digits than its factorization.

504491041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 504491041 is about 22460.8780104430. The cubic root of 504491041 is about 796.0698074558.

The spelling of 504491041 in words is "five hundred four million, four hundred ninety-one thousand, forty-one".

Divisors: 1 37 1409 9677 52133 358049 13634893 504491041