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5220904 = 2313172953
BaseRepresentation
bin10011111010101000101000
3100211020201211
4103322220220
52314032104
6303522504
762243203
oct23725050
910736654
105220904
112a465a7
1218b9434
13110a4c0
1499c93a
156d1e04
hex4faa28

5220904 has 32 divisors (see below), whose sum is σ = 11166120. Its totient is φ = 2267136.

The previous prime is 5220889. The next prime is 5220907. The reversal of 5220904 is 4090225.

It is a happy number.

5220904 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4848804 + 372100 = 2202^2 + 610^2 .

It is not an unprimeable number, because it can be changed into a prime (5220907) by changing a digit.

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, 292 + ... + 3244.

Almost surely, 25220904 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 5220904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583060).

5220904 is an abundant number, since it is smaller than the sum of its proper divisors (5945216).

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

5220904 is a wasteful number, since it uses less digits than its factorization.

5220904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5220904 is about 2284.9297582202. The cubic root of 5220904 is about 173.4796627575.

The spelling of 5220904 in words is "five million, two hundred twenty thousand, nine hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 2953 5906 11812 23624 38389 50201 76778 100402 153556 200804 307112 401608 652613 1305226 2610452 5220904