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528906 = 2373257
BaseRepresentation
bin10000001001000001010
3222212112010
42001020022
5113411111
615200350
74332000
oct2011012
9885463
10528906
11331414
122160b6
13156981
14daa70
15a6aa6
hex8120a

528906 has 32 divisors (see below), whose sum is σ = 1238400. Its totient is φ = 150528.

The previous prime is 528883. The next prime is 528911. The reversal of 528906 is 609825.

528906 is a nontrivial binomial coefficient, being equal to C(1029, 2).

It is a nialpdrome in base 7 and base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930 + ... + 2186.

It is an arithmetic number, because the mean of its divisors is an integer number (38700).

2528906 is an apocalyptic number.

528906 is the 1028-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619200).

528906 is an abundant number, since it is smaller than the sum of its proper divisors (709494).

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

528906 is a wasteful number, since it uses less digits than its factorization.

528906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 528906 is about 727.2592385113. The cubic root of 528906 is about 80.8710033324.

The spelling of 528906 in words is "five hundred twenty-eight thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 257 294 343 514 686 771 1029 1542 1799 2058 3598 5397 10794 12593 25186 37779 75558 88151 176302 264453 528906