828828
Number 828828: Properties, Factors, and Mathematical Facts
Short answer
The number 828828 is an even composite number with 144 positive divisors. Its prime factorization is 2² × 3² × 7 × 11 × 13 × 23. It is also an abundant number, a triangular number, and a decimal palindrome, which gives it several notable mathematical relationships.
Is 828828 prime?
ClassificationCompositeParityEvenDivisor count144AbundanceAbundant
What is the prime factorization of 828828?
Prime factorization
2 squared times 3 squared times 7 times 11 times 13 times 23
What are the divisors of 828828?
Divisor count
144
Divisor sum
2,935,296
Proper divisor sum
2,106,468
- 1
- 2
- 3
- 4
- 6
- 7
- 9
- 11
- 12
- 13
- 14
- 18
- 21
- 22
- 23
- 26
- 28
- 33
- 36
- 39
- 42
- 44
- 46
- 52
How is 828828 classified?
Prime
CompositeLearn more →
Perfect square
No
Perfect cube
No
Fibonacci
No
Triangular
YesLearn more →
Power of two
No
How is 828828 represented in other numeral systems?
Decimal
828828
Binary
11001010010110011100
Octal
3122634
Hexadecimal
CA59C
Roman
No conventional Roman numeral
In words
eight hundred twenty eight thousand eight hundred twenty eight
Roots and powers
Square root
910.399912 Approximate
Cube root
93.933709 Approximate
Nearest lower square
828100
Nearest higher square
829921
Nearest lower cube
804357
Nearest higher cube
830584
Sequence position
Triangular
Index: 1287
What are the digit properties of 828828?
Which numbers are related to 828828?
Why these results are true
- 828828 is composite because it has positive divisors other than 1 and itself.
- 828828 is abundant because the sum of its proper divisors (2106468) is greater than 828828.
- 828828 is triangular because it equals 1287×(1287+1)/2.
Compare this number
FAQ for 828828
- Is 828828 prime?
- No
- What is the prime factorization of 828828?
- 2² × 3² × 7 × 11 × 13 × 23
- Is 828828 a perfect square?
- No
- What is 828828 in binary?
- 11001010010110011100