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503863952 = 241710118341
BaseRepresentation
bin11110000010000…
…101101010010000
31022010002221101212
4132002011222100
52012442121302
6121555315252
715325526054
oct3602055220
91263087355
10503863952
11239466499
121208abb28
1380508a67
144acbdc64
152e37d052
hex1e085a90

503863952 has 40 divisors (see below), whose sum is σ = 1043953272. Its totient is φ = 234752000.

The previous prime is 503863933. The next prime is 503863961. The reversal of 503863952 is 259368305.

It can be written as a sum of positive squares in 4 ways, for example, as 162205696 + 341658256 = 12736^2 + 18484^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18302 + ... + 36642.

Almost surely, 2503863952 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 503863952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521976636).

503863952 is an abundant number, since it is smaller than the sum of its proper divisors (540089320).

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

503863952 is a wasteful number, since it uses less digits than its factorization.

503863952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18467 (or 18461 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 503863952 is about 22446.9140863505. The cubic root of 503863952 is about 795.7398289481.

The spelling of 503863952 in words is "five hundred three million, eight hundred sixty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 6868 13736 18341 27472 36682 73364 146728 293456 311797 623594 1247188 1852441 2494376 3704882 4988752 7409764 14819528 29639056 31491497 62982994 125965988 251931976 503863952