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6828332 = 227232461
BaseRepresentation
bin11010000011000100101100
3110211220201012
4122003010230
53222001312
6402204352
7112016450
oct32030454
913756635
106828332
113944255
1223536b8
131551044
14c9a660
158ed322
hex68312c

6828332 has 36 divisors (see below), whose sum is σ = 14307216. Its totient is φ = 2793120.

The previous prime is 6828331. The next prime is 6828377. The reversal of 6828332 is 2338286.

It is a happy number.

It is a super-2 number, since 2×68283322 = 93252235804448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 64 + 84 + 24 + 87 + 33 + 312 + 222 .

It is not an unprimeable number, because it can be changed into a prime (6828331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14582 + ... + 15042.

Almost surely, 26828332 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 6828332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153608).

6828332 is an abundant number, since it is smaller than the sum of its proper divisors (7478884).

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

6828332 is a wasteful number, since it uses less digits than its factorization.

6828332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 493 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 6828332 is about 2613.1077283572. The cubic root of 6828332 is about 189.7164005400.

The spelling of 6828332 in words is "six million, eight hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 461 529 644 922 1058 1844 2116 3227 3703 6454 7406 10603 12908 14812 21206 42412 74221 148442 243869 296884 487738 975476 1707083 3414166 6828332