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2428664 = 237311399
BaseRepresentation
bin1001010000111011111000
311120101111112
421100323320
51110204124
6124015452
726433440
oct11207370
94511445
102428664
111409767
12991588
136705a4
14473120
1532e90e
hex250ef8

2428664 has 32 divisors (see below), whose sum is σ = 5376000. Its totient is φ = 1006560.

The previous prime is 2428661. The next prime is 2428667. The reversal of 2428664 is 4668242.

It is a happy number.

2428664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2428661) and next prime (2428667).

It is a self number, because there is not a number n which added to its sum of digits gives 2428664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428661) 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 7 ways as a sum of consecutive naturals, for example, 1037 + ... + 2435.

It is an arithmetic number, because the mean of its divisors is an integer number (168000).

22428664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688000).

2428664 is an abundant number, since it is smaller than the sum of its proper divisors (2947336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2428664 is a wasteful number, since it uses less digits than its factorization.

2428664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 2428664 is about 1558.4171456962. The cubic root of 2428664 is about 134.4174993749.

The spelling of 2428664 in words is "two million, four hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1399 1736 2798 5596 9793 11192 19586 39172 43369 78344 86738 173476 303583 346952 607166 1214332 2428664