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505085924 = 22722988861
BaseRepresentation
bin11110000110101…
…111111111100100
31022012102000122002
4132012233333210
52013300222144
6122041424432
715342105500
oct3606577744
91265360562
10505085924
1123a120592
1212119b118
1380846015
144b11b300
152e52014e
hex1e1affe4

505085924 has 36 divisors (see below), whose sum is σ = 1063678140. Its totient is φ = 208998720.

The previous prime is 505085921. The next prime is 505085993. The reversal of 505085924 is 429580505.

It can be written as a sum of positive squares in 2 ways, for example, as 337383424 + 167702500 = 18368^2 + 12950^2 .

It is a super-2 number, since 2×5050859242 = 510223581245867552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505085921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38747 + ... + 50114.

It is an arithmetic number, because the mean of its divisors is an integer number (29546615).

Almost surely, 2505085924 is an apocalyptic number.

It is an amenable number.

505085924 is an abundant number, since it is smaller than the sum of its proper divisors (558592216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505085924 is a wasteful number, since it uses less digits than its factorization.

505085924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88908 (or 88899 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The square root of 505085924 is about 22474.1167568383. The cubic root of 505085924 is about 796.3825863020.

The spelling of 505085924 in words is "five hundred five million, eighty-five thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 2842 5684 88861 177722 355444 622027 1244054 2488108 2576969 4354189 5153938 8708378 10307876 17416756 18038783 36077566 72155132 126271481 252542962 505085924