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528262825 = 52101209213
BaseRepresentation
bin11111011111001…
…010011010101001
31100211000112100211
4133133022122221
52040213402300
6124230301121
716043105566
oct3737123251
91324015324
10528262825
11251210752
12128ab77a1
138559c46c
145023186d
153159c4ba
hex1f7ca6a9

528262825 has 12 divisors (see below), whose sum is σ = 661534668. Its totient is φ = 418424000.

The previous prime is 528262817. The next prime is 528262829.

It is a happy number.

528262825 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 14379264 + 513883561 = 3792^2 + 22669^2 .

It is not a de Polignac number, because 528262825 - 23 = 528262817 is a prime.

It is a super-2 number, since 2×5282628252 = 558123224553961250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (528262829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102082 + ... + 107131.

It is an arithmetic number, because the mean of its divisors is an integer number (55127889).

Almost surely, 2528262825 is an apocalyptic number.

It is an amenable number.

528262825 is a deficient number, since it is larger than the sum of its proper divisors (133271843).

528262825 is a wasteful number, since it uses less digits than its factorization.

528262825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209324 (or 209319 counting only the distinct ones).

The product of its digits is 153600, while the sum is 40.

The square root of 528262825 is about 22983.9688696274. The cubic root of 528262825 is about 808.3820903267.

The spelling of 528262825 in words is "five hundred twenty-eight million, two hundred sixty-two thousand, eight hundred twenty-five".

Divisors: 1 5 25 101 505 2525 209213 1046065 5230325 21130513 105652565 528262825