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528804 = 223237397
BaseRepresentation
bin10000001000110100100
3222212101100
42001012210
5113410204
615200100
74331463
oct2010644
9885340
10528804
11331331
12216030
13156903
14da9da
15a6a39
hex811a4

528804 has 36 divisors (see below), whose sum is σ = 1376284. Its totient is φ = 171072.

The previous prime is 528799. The next prime is 528811. The reversal of 528804 is 408825.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 108900 = 648^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134 + ... + 1530.

2528804 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 528804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688142).

528804 is an abundant number, since it is smaller than the sum of its proper divisors (847480).

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

528804 is a wasteful number, since it uses less digits than its factorization.

528804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 528804 is about 727.1891088293. The cubic root of 528804 is about 80.8658043162.

The spelling of 528804 in words is "five hundred twenty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 397 444 666 794 1191 1332 1588 2382 3573 4764 7146 14292 14689 29378 44067 58756 88134 132201 176268 264402 528804