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5003776 = 2929337
BaseRepresentation
bin10011000101101000000000
3100102012220001
4103011220000
52240110101
6255125344
760350161
oct23055000
910365801
105003776
112908458
121813854
13106271b
14943768
1568c901
hex4c5a00

5003776 has 40 divisors (see below), whose sum is σ = 10373220. Its totient is φ = 2408448.

The previous prime is 5003773. The next prime is 5003809. The reversal of 5003776 is 6773005.

It can be written as a sum of positive squares in 2 ways, for example, as 4946176 + 57600 = 2224^2 + 240^2 .

It is not an unprimeable number, because it can be changed into a prime (5003771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14680 + ... + 15016.

Almost surely, 25003776 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 5003776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186610).

5003776 is an abundant number, since it is smaller than the sum of its proper divisors (5369444).

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

5003776 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (5003775) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (368).

5003776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 5003776 is about 2236.9121574170. The cubic root of 5003776 is about 171.0406296307.

The spelling of 5003776 in words is "five million, three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 337 464 512 674 928 1348 1856 2696 3712 5392 7424 9773 10784 14848 19546 21568 39092 43136 78184 86272 156368 172544 312736 625472 1250944 2501888 5003776