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2462013 = 32299433
BaseRepresentation
bin1001011001000100111101
311122002020200
421121010331
51112241023
6124434113
726632611
oct11310475
94562220
102462013
111431824
129a8939
13682818
14481341
15339743
hex25913d

2462013 has 12 divisors (see below), whose sum is σ = 3679260. Its totient is φ = 1584576.

The previous prime is 2461997. The next prime is 2462023. The reversal of 2462013 is 3102642.

It is a happy number.

2462013 is digitally balanced in base 2, 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 1505529 + 956484 = 1227^2 + 978^2 .

It is not a de Polignac number, because 2462013 - 24 = 2461997 is a prime.

It is a Curzon number.

2462013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2462023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4456 + ... + 4977.

It is an arithmetic number, because the mean of its divisors is an integer number (306605).

22462013 is an apocalyptic number.

It is an amenable number.

2462013 is a deficient number, since it is larger than the sum of its proper divisors (1217247).

2462013 is a wasteful number, since it uses less digits than its factorization.

2462013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9468 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2462013 is about 1569.0803038723. The cubic root of 2462013 is about 135.0299522018.

Adding to 2462013 its reverse (3102642), we get a palindrome (5564655).

The spelling of 2462013 in words is "two million, four hundred sixty-two thousand, thirteen".

Divisors: 1 3 9 29 87 261 9433 28299 84897 273557 820671 2462013