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528808825 = 5253399101
BaseRepresentation
bin11111100001001…
…111101101111001
31100212001021100001
4133201033231321
52040333340300
6124250113001
716050541456
oct3741175571
91325037301
10528808825
11251553996
1212911b761
1385730b3c
145033482d
153165916a
hex1f84fb79

528808825 has 12 divisors (see below), whose sum is σ = 668096748. Its totient is φ = 415064000.

The previous prime is 528808811. The next prime is 528808859.

528808825 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 27541504 + 501267321 = 5248^2 + 22389^2 .

It is not a de Polignac number, because 528808825 - 25 = 528808793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198226 + ... + 200875.

It is an arithmetic number, because the mean of its divisors is an integer number (55674729).

Almost surely, 2528808825 is an apocalyptic number.

It is an amenable number.

528808825 is a deficient number, since it is larger than the sum of its proper divisors (139287923).

528808825 is a wasteful number, since it uses less digits than its factorization.

528808825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399164 (or 399159 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 46.

The square root of 528808825 is about 22995.8436461896. The cubic root of 528808825 is about 808.6605026511.

The spelling of 528808825 in words is "five hundred twenty-eight million, eight hundred eight thousand, eight hundred twenty-five".

Divisors: 1 5 25 53 265 1325 399101 1995505 9977525 21152353 105761765 528808825