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505000321 = 72411731453
BaseRepresentation
bin11110000110011…
…011000110000001
31022012020200012121
4132012123012001
52013240002241
6122035524241
715341301100
oct3606330601
91265220177
10505000321
1123a072241
12121159681
1380816077
144b0d8037
152e504ad1
hex1e19b181

505000321 has 24 divisors (see below), whose sum is σ = 605672424. Its totient is φ = 419569920.

The previous prime is 505000313. The next prime is 505000339. The reversal of 505000321 is 123000505.

It can be written as a sum of positive squares in 4 ways, for example, as 192099600 + 312900721 = 13860^2 + 17689^2 .

It is not a de Polignac number, because 505000321 - 23 = 505000313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505000295 and 505000304.

It is not an unprimeable number, because it can be changed into a prime (505000381) 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, 346831 + ... + 348283.

It is an arithmetic number, because the mean of its divisors is an integer number (25236351).

Almost surely, 2505000321 is an apocalyptic number.

It is an amenable number.

505000321 is a deficient number, since it is larger than the sum of its proper divisors (100672103).

505000321 is a wasteful number, since it uses less digits than its factorization.

505000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 505000321 is about 22472.2121963994. The cubic root of 505000321 is about 796.3375929078.

Adding to 505000321 its reverse (123000505), we get a palindrome (628000826).

The spelling of 505000321 in words is "five hundred five million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 41 49 173 287 1211 1453 2009 7093 8477 10171 49651 59573 71197 251369 347557 417011 1759583 2919077 10306129 12317081 72142903 505000321