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5736825 = 34522833
BaseRepresentation
bin10101111000100101111001
3101210110110000
4111320211321
52432034300
6322543213
766522303
oct25704571
911713400
105736825
113269186
121b07b09
13125b293
14a94973
15784c00
hex578979

5736825 has 30 divisors (see below), whose sum is σ = 10630334. Its totient is φ = 3058560.

The previous prime is 5736823. The next prime is 5736833. The reversal of 5736825 is 5286375.

5736825 is a `hidden beast` number, since 573 + 6 + 82 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 219024 + 5517801 = 468^2 + 2349^2 .

It is not a de Polignac number, because 5736825 - 21 = 5736823 is a prime.

It is a super-2 number, since 2×57368252 = 65822322161250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5736825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5736823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 609 + ... + 3441.

Almost surely, 25736825 is an apocalyptic number.

It is an amenable number.

5736825 is a deficient number, since it is larger than the sum of its proper divisors (4893509).

5736825 is a wasteful number, since it uses less digits than its factorization.

5736825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2841 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5736825 is about 2395.1670087908. The cubic root of 5736825 is about 179.0154580244.

It can be divided in two parts, 5736 and 825, that added together give a 8-th power (6561 = 38).

The spelling of 5736825 in words is "five million, seven hundred thirty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2833 8499 14165 25497 42495 70825 76491 127485 212475 229473 382455 637425 1147365 1912275 5736825