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526864 = 241317149
BaseRepresentation
bin10000000101000010000
3222202201111
42000220100
5113324424
615143104
74323022
oct2005020
9882644
10526864
1132a928
12214a94
13155a70
14da012
15a6194
hex80a10

526864 has 40 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 227328.

The previous prime is 526859. The next prime is 526871. The reversal of 526864 is 468625.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 518400 = 92^2 + 720^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3462 + ... + 3610.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2526864 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 526864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900).

526864 is an abundant number, since it is smaller than the sum of its proper divisors (644936).

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

526864 is a wasteful number, since it uses less digits than its factorization.

526864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 526864 is about 725.8539798059. The cubic root of 526864 is about 80.7667935307.

The spelling of 526864 in words is "five hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 149 208 221 272 298 442 596 884 1192 1768 1937 2384 2533 3536 3874 5066 7748 10132 15496 20264 30992 32929 40528 65858 131716 263432 526864