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5824013 = 131719273
BaseRepresentation
bin10110001101111000001101
3101221220001012
4112031320031
52442332023
6324455005
7100334426
oct26157015
911856035
105824013
113318738
121b4a465
13128bb80
14ab864d
157a0978
hex58de0d

5824013 has 24 divisors (see below), whose sum is σ = 7104888. Its totient is φ = 4727808.

The previous prime is 5824003. The next prime is 5824019. The reversal of 5824013 is 3104285.

5824013 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 4 ways, for example, as 797449 + 5026564 = 893^2 + 2242^2 .

It is not a de Polignac number, because 5824013 - 28 = 5823757 is a prime.

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 5824013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5824019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79745 + ... + 79817.

It is an arithmetic number, because the mean of its divisors is an integer number (296037).

Almost surely, 25824013 is an apocalyptic number.

It is an amenable number.

5824013 is a deficient number, since it is larger than the sum of its proper divisors (1280875).

5824013 is a wasteful number, since it uses less digits than its factorization.

5824013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5824013 is about 2413.2991940495. The cubic root of 5824013 is about 179.9177916782.

Adding to 5824013 its reverse (3104285), we get a palindrome (8928298).

The spelling of 5824013 in words is "five million, eight hundred twenty-four thousand, thirteen".

Divisors: 1 13 17 19 73 221 247 323 361 949 1241 1387 4199 4693 6137 16133 18031 23579 26353 79781 306527 342589 448001 5824013