Search a number
-
+
6864288 = 25371503
BaseRepresentation
bin11010001011110110100000
3110220202000220
4122023312200
53224124123
6403043040
7112226334
oct32136640
913822026
106864288
113969272
122370480
131564512
14ca97c4
15908ce3
hex68bda0

6864288 has 24 divisors (see below), whose sum is σ = 18019008. Its totient is φ = 2288064.

The previous prime is 6864287. The next prime is 6864307. The reversal of 6864288 is 8824686.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6864283) 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 3 ways as a sum of consecutive naturals, for example, 35656 + ... + 35847.

It is an arithmetic number, because the mean of its divisors is an integer number (750792).

Almost surely, 26864288 is an apocalyptic number.

It is an amenable number.

6864288 is an abundant number, since it is smaller than the sum of its proper divisors (11154720).

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

6864288 is a wasteful number, since it uses less digits than its factorization.

6864288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71516 (or 71508 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 6864288 is about 2619.9786258670. The cubic root of 6864288 is about 190.0488147889.

The spelling of 6864288 in words is "six million, eight hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 71503 143006 214509 286012 429018 572024 858036 1144048 1716072 2288096 3432144 6864288