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535264 = 2543389
BaseRepresentation
bin10000010101011100000
31000012020121
42002223200
5114112024
615250024
74356352
oct2025340
91005217
10535264
11336174
12219914
13159832
14dd0d2
15a88e4
hex82ae0

535264 has 24 divisors (see below), whose sum is σ = 1081080. Its totient is φ = 260736.

The previous prime is 535243. The next prime is 535273. The reversal of 535264 is 462535.

It is a congruent number.

It is an unprimeable number.

535264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1182 + ... + 1570.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

2535264 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 535264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540540).

535264 is an abundant number, since it is smaller than the sum of its proper divisors (545816).

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

535264 is a wasteful number, since it uses less digits than its factorization.

535264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 535264 is about 731.6173863434. The cubic root of 535264 is about 81.1937646372.

Adding to 535264 its reverse (462535), we get a palindrome (997799).

The spelling of 535264 in words is "five hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 389 688 778 1376 1556 3112 6224 12448 16727 33454 66908 133816 267632 535264