Search a number
-
+
6828445 = 51328081
BaseRepresentation
bin11010000011000110011101
3110211220212101
4122003012131
53222002240
6402205101
7112020001
oct32030635
913756771
106828445
113944348
122353791
131551100
14c9a701
158ed39a
hex68319d

6828445 has 12 divisors (see below), whose sum is σ = 8874036. Its totient is φ = 5041920.

The previous prime is 6828433. The next prime is 6828449. The reversal of 6828445 is 5448286.

6828445 = 1112 + 1122 + ... + 2792.

It can be written as a sum of positive squares in 6 ways, for example, as 1819801 + 5008644 = 1349^2 + 2238^2 .

It is not a de Polignac number, because 6828445 - 25 = 6828413 is a prime.

It is a super-2 number, since 2×68284452 = 93255322236050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828449) 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 11 ways as a sum of consecutive naturals, for example, 3196 + ... + 4885.

It is an arithmetic number, because the mean of its divisors is an integer number (739503).

Almost surely, 26828445 is an apocalyptic number.

6828445 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6828445 is a deficient number, since it is larger than the sum of its proper divisors (2045591).

6828445 is a wasteful number, since it uses less digits than its factorization.

6828445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8099 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 6828445 is about 2613.1293500323. The cubic root of 6828445 is about 189.7174470539.

The spelling of 6828445 in words is "six million, eight hundred twenty-eight thousand, four hundred forty-five".

Divisors: 1 5 13 65 169 845 8081 40405 105053 525265 1365689 6828445