Search a number
-
+
2828884188 = 2231334752259
BaseRepresentation
bin1010100010011101…
…0101100011011100
321022011001012120110
42220213111203130
521243143243223
61144412450020
7130050055524
oct25047254334
97264035513
102828884188
111221916619
1266b479910
13361101390
141cb9c2684
15118542d93
hexa89d58dc

2828884188 has 48 divisors (see below), whose sum is σ = 7129100160. Its totient is φ = 867900864.

The previous prime is 2828884187. The next prime is 2828884189. The reversal of 2828884188 is 8814888282.

It is a happy number.

2828884188 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 (2828884187) and next prime (2828884189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828884187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28003 + ... + 80261.

It is an arithmetic number, because the mean of its divisors is an integer number (148522920).

Almost surely, 22828884188 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 2828884188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564550080).

2828884188 is an abundant number, since it is smaller than the sum of its proper divisors (4300215972).

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

2828884188 is a wasteful number, since it uses less digits than its factorization.

2828884188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52626 (or 52624 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 57.

The square root of 2828884188 is about 53187.2558795808. The cubic root of 2828884188 is about 1414.2897354791.

The spelling of 2828884188 in words is "two billion, eight hundred twenty-eight million, eight hundred eighty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 347 694 1041 1388 2082 4164 4511 9022 13533 18044 27066 52259 54132 104518 156777 209036 313554 627108 679367 1358734 2038101 2717468 4076202 8152404 18133873 36267746 54401619 72535492 108803238 217606476 235740349 471480698 707221047 942961396 1414442094 2828884188