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5736249 = 326171033
BaseRepresentation
bin10101111000011100111001
3101210102122200
4111320130321
52432024444
6322540413
766520521
oct25703471
911712580
105736249
113268802
121b07709
13125ac3c
14a94681
15784969
hex578739

5736249 has 12 divisors (see below), whose sum is σ = 8307156. Its totient is φ = 3814272.

The previous prime is 5736217. The next prime is 5736251. The reversal of 5736249 is 9426375.

5736249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 2913849 = 1680^2 + 1707^2 .

It is not a de Polignac number, because 5736249 - 25 = 5736217 is a prime.

5736249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5736149) 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 11 ways as a sum of consecutive naturals, for example, 5037 + ... + 6069.

It is an arithmetic number, because the mean of its divisors is an integer number (692263).

Almost surely, 25736249 is an apocalyptic number.

It is an amenable number.

5736249 is a deficient number, since it is larger than the sum of its proper divisors (2570907).

5736249 is a wasteful number, since it uses less digits than its factorization.

5736249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1653 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 5736249 is about 2395.0467636353. The cubic root of 5736249 is about 179.0094665364.

The spelling of 5736249 in words is "five million, seven hundred thirty-six thousand, two hundred forty-nine".

Divisors: 1 3 9 617 1033 1851 3099 5553 9297 637361 1912083 5736249