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527104 = 282971
BaseRepresentation
bin10000000101100000000
3222210001101
42000230000
5113331404
615144144
74323514
oct2005400
9883041
10527104
11330026
12215054
13155bc6
14da144
15a62a4
hex80b00

527104 has 36 divisors (see below), whose sum is σ = 1103760. Its totient is φ = 250880.

The previous prime is 527099. The next prime is 527123. The reversal of 527104 is 401725.

527104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7389 + ... + 7459.

It is an arithmetic number, because the mean of its divisors is an integer number (30660).

2527104 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 527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551880).

527104 is an abundant number, since it is smaller than the sum of its proper divisors (576656).

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

527104 is an equidigital number, since it uses as much as digits as its factorization.

527104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 527104 is about 726.0192834905. The cubic root of 527104 is about 80.7790554477.

Adding to 527104 its reverse (401725), we get a palindrome (928829).

The spelling of 527104 in words is "five hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 71 116 128 142 232 256 284 464 568 928 1136 1856 2059 2272 3712 4118 4544 7424 8236 9088 16472 18176 32944 65888 131776 263552 527104