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24008013 = 3210924473
BaseRepresentation
bin101101110010…
…1010101001101
31200011201210200
41123211111031
522121224023
62214324113
7411031131
oct133452515
950151720
1024008013
1112608637
128059639
134c87833
14328d3c1
152193743
hex16e554d

24008013 has 12 divisors (see below), whose sum is σ = 34997820. Its totient is φ = 15857856.

The previous prime is 24007979. The next prime is 24008041. The reversal of 24008013 is 31080042.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17867529 + 6140484 = 4227^2 + 2478^2 .

It is not a de Polignac number, because 24008013 - 214 = 23991629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24008053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11256 + ... + 13217.

It is an arithmetic number, because the mean of its divisors is an integer number (2916485).

Almost surely, 224008013 is an apocalyptic number.

It is an amenable number.

24008013 is a deficient number, since it is larger than the sum of its proper divisors (10989807).

24008013 is a wasteful number, since it uses less digits than its factorization.

24008013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24588 (or 24585 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 24008013 is about 4899.7972407029. The cubic root of 24008013 is about 288.4820125611.

Adding to 24008013 its reverse (31080042), we get a palindrome (55088055).

The spelling of 24008013 in words is "twenty-four million, eight thousand, thirteen".

Divisors: 1 3 9 109 327 981 24473 73419 220257 2667557 8002671 24008013