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6828416 = 2777621
BaseRepresentation
bin11010000011000110000000
3110211220211022
4122003012000
53222002131
6402205012
7112016630
oct32030600
913756738
106828416
113944321
122353768
1315510aa
14c9a6c0
158ed37b
hex683180

6828416 has 32 divisors (see below), whose sum is σ = 15548880. Its totient is φ = 2926080.

The previous prime is 6828413. The next prime is 6828433. The reversal of 6828416 is 6148286.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828413) 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 3 ways as a sum of consecutive naturals, for example, 2915 + ... + 4706.

Almost surely, 26828416 is an apocalyptic number.

It is an amenable number.

6828416 is an abundant number, since it is smaller than the sum of its proper divisors (8720464).

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

6828416 is an equidigital number, since it uses as much as digits as its factorization.

6828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7630 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 6828416 is about 2613.1238011239. The cubic root of 6828416 is about 189.7171784807.

The spelling of 6828416 in words is "six million, eight hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 7621 15242 30484 53347 60968 106694 121936 213388 243872 426776 487744 853552 975488 1707104 3414208 6828416