Search a number
-
+
6381828 = 223419697
BaseRepresentation
bin11000010110000100000100
3110000020020000
4120112010010
53113204303
6344441300
7105146625
oct30260404
913006200
106381828
113669842
122179230
131425a3b
14bc1a4c
15860da3
hex616104

6381828 has 30 divisors (see below), whose sum is σ = 16684206. Its totient is φ = 2127168.

The previous prime is 6381821. The next prime is 6381829. The reversal of 6381828 is 8281836.

6381828 is a `hidden beast` number, since 638 + 18 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4359744 + 2022084 = 2088^2 + 1422^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6381792 and 6381801.

It is not an unprimeable number, because it can be changed into a prime (6381821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9525 + ... + 10172.

Almost surely, 26381828 is an apocalyptic number.

It is an amenable number.

6381828 is an abundant number, since it is smaller than the sum of its proper divisors (10302378).

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

6381828 is a wasteful number, since it uses less digits than its factorization.

6381828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19713 (or 19702 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 6381828 is about 2526.2280182121. The cubic root of 6381828 is about 185.4876639501.

The spelling of 6381828 in words is "six million, three hundred eighty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 19697 39394 59091 78788 118182 177273 236364 354546 531819 709092 1063638 1595457 2127276 3190914 6381828