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500090368 = 292693631
BaseRepresentation
bin11101110011101…
…100011000000000
31021212000020000111
4131303230120000
52011010342433
6121342401104
715251461261
oct3563543000
91255006014
10500090368
11237319328
1211b590194
137c7b727b
144a5ba968
152dd84dcd
hex1dcec600

500090368 has 40 divisors (see below), whose sum is σ = 1003194720. Its totient is φ = 249047040.

The previous prime is 500090341. The next prime is 500090401. The reversal of 500090368 is 863090005.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 135913 + ... + 139543.

It is an arithmetic number, because the mean of its divisors is an integer number (25079868).

Almost surely, 2500090368 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 500090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501597360).

500090368 is an abundant number, since it is smaller than the sum of its proper divisors (503104352).

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

500090368 is an equidigital number, since it uses as much as digits as its factorization.

500090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 500090368 is about 22362.7003736132. The cubic root of 500090368 is about 793.7483398564.

The spelling of 500090368 in words is "five hundred million, ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 269 512 538 1076 2152 3631 4304 7262 8608 14524 17216 29048 34432 58096 68864 116192 137728 232384 464768 929536 976739 1859072 1953478 3906956 7813912 15627824 31255648 62511296 125022592 250045184 500090368