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535806 = 232172103
BaseRepresentation
bin10000010110011111110
31000012222200
42002303332
5114121211
615252330
74361055
oct2026376
91005880
10535806
11336617
1221a0a6
13159b5b
14dd39c
15a8b56
hex82cfe

535806 has 36 divisors (see below), whose sum is σ = 1245192. Its totient is φ = 166464.

The previous prime is 535793. The next prime is 535811. The reversal of 535806 is 608535.

It is a self number, because there is not a number n which added to its sum of digits gives 535806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5151 + ... + 5253.

2535806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622596).

535806 is an abundant number, since it is smaller than the sum of its proper divisors (709386).

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

535806 is a wasteful number, since it uses less digits than its factorization.

535806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 535806 is about 731.9877048148. The cubic root of 535806 is about 81.2211605734.

The spelling of 535806 in words is "five hundred thirty-five thousand, eight hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 153 206 289 306 309 578 618 867 927 1734 1751 1854 2601 3502 5202 5253 10506 15759 29767 31518 59534 89301 178602 267903 535806