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504252928 = 292933961
BaseRepresentation
bin11110000011100…
…100101000000000
31022010211200222101
4132003210220000
52013042043203
6122011520144
715332036104
oct3603445000
91263750871
10504252928
11239701763
12120a59054
1380613b1a
144ad81904
152e40841d
hex1e0e4a00

504252928 has 40 divisors (see below), whose sum is σ = 1042293780. Its totient is φ = 243425280.

The previous prime is 504252911. The next prime is 504252937. The reversal of 504252928 is 829252405.

It can be written as a sum of positive squares in 2 ways, for example, as 468635904 + 35617024 = 21648^2 + 5968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2133 + ... + 31828.

Almost surely, 2504252928 is an apocalyptic number.

504252928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

504252928 is an abundant number, since it is smaller than the sum of its proper divisors (538040852).

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

504252928 is an equidigital number, since it uses as much as digits as its factorization.

504252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34008 (or 33992 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 504252928 is about 22455.5767683665. The cubic root of 504252928 is about 795.9445429913.

It can be divided in two parts, 5042 and 52928, that added together give a triangular number (57970 = T340).

The spelling of 504252928 in words is "five hundred four million, two hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 7424 14848 33961 67922 135844 271688 543376 984869 1086752 1969738 2173504 3939476 4347008 7878952 8694016 15757904 17388032 31515808 63031616 126063232 252126464 504252928