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535968801 = 3277172
BaseRepresentation
bin11111111100100…
…011110000100001
31101100112000222100
4133330203300201
52044202000201
6125103401013
716165442154
oct3774436041
91340460870
10535968801
112555a4325
1212b5b3169
1387069b04
1451279c9b
15320c0886
hex1ff23c21

535968801 has 9 divisors (see below), whose sum is σ = 774277491. Its totient is φ = 357266232.

The previous prime is 535968799. The next prime is 535968833. The reversal of 535968801 is 108869535.

The square root of 535968801 is 23151.

It is a perfect power (a square), and thus also a powerful number.

535968801 is a `hidden beast` number, since 53 + 596 + 8 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 262926225 + 273042576 = 16215^2 + 16524^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 535968801 - 21 = 535968799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (535960801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65595 + ... + 73311.

Almost surely, 2535968801 is an apocalyptic number.

535968801 is the 23151-st square number.

535968801 is the 11576-th centered octagonal number.

It is an amenable number.

535968801 is a deficient number, since it is larger than the sum of its proper divisors (238308690).

535968801 is an frugal number, since it uses more digits than its factorization.

535968801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15440 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The cubic root of 535968801 is about 812.2938590571.

The spelling of 535968801 in words is "five hundred thirty-five million, nine hundred sixty-eight thousand, eight hundred one".

Divisors: 1 3 9 7717 23151 69453 59552089 178656267 535968801