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504315904 = 21430781
BaseRepresentation
bin11110000011110…
…100000000000000
31022010221220100211
4132003310000000
52013101102104
6122013123504
715332420521
oct3603640000
91263856324
10504315904
11239745004
12120a89594
13806366a1
144ad9a848
152e41be04
hex1e0f4000

504315904 has 30 divisors (see below), whose sum is σ = 1008633794. Its totient is φ = 252149760.

The previous prime is 504315839. The next prime is 504315923. The reversal of 504315904 is 409513405.

It can be written as a sum of positive squares in only one way, i.e., 368640000 + 135675904 = 19200^2 + 11648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 994 + ... + 31774.

Almost surely, 2504315904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504315904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504316897).

504315904 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

504315904 is an frugal number, since it uses more digits than its factorization.

504315904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30809 (or 30783 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 504315904 is about 22456.9789597800. The cubic root of 504315904 is about 795.9776767053.

The spelling of 504315904 in words is "five hundred four million, three hundred fifteen thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 30781 61562 123124 246248 492496 984992 1969984 3939968 7879936 15759872 31519744 63039488 126078976 252157952 504315904