Search a number
-
+
6882768 = 243247797
BaseRepresentation
bin11010010000010111010000
3110221200101100
4122100113100
53230222033
6403304400
7112334244
oct32202720
913850340
106882768
113981142
12237b100
13156ca59
14cb2424
1590e513
hex6905d0

6882768 has 30 divisors (see below), whose sum is σ = 19262594. Its totient is φ = 2294208.

The previous prime is 6882767. The next prime is 6882779. The reversal of 6882768 is 8672886.

It can be written as a sum of positive squares in only one way, i.e., 5817744 + 1065024 = 2412^2 + 1032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6882761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23755 + ... + 24042.

Almost surely, 26882768 is an apocalyptic number.

It is an amenable number.

6882768 is an abundant number, since it is smaller than the sum of its proper divisors (12379826).

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

6882768 is a wasteful number, since it uses less digits than its factorization.

6882768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47811 (or 47802 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 6882768 is about 2623.5030017135. The cubic root of 6882768 is about 190.2192114394.

The spelling of 6882768 in words is "six million, eight hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 47797 95594 143391 191188 286782 382376 430173 573564 764752 860346 1147128 1720692 2294256 3441384 6882768