77028
Number 77028: Properties, Factors, and Mathematical Facts
Short answer
The number 77028 is an even composite number with 36 positive divisors. Its prime factorization is 2² × 3 × 7² × 131. It is also an abundant number and a triangular number, which gives it several notable mathematical relationships.
Is 77028 prime?
ClassificationCompositeParityEvenDivisor count36AbundanceAbundant
What is the prime factorization of 77028?
Prime factorization
2 squared times 3 times 7 squared times 131
What are the divisors of 77028?
Divisor count
36
Divisor sum
210,672
Proper divisor sum
133,644
- 1
- 2
- 3
- 4
- 6
- 7
- 12
- 14
- 21
- 28
- 42
- 49
- 84
- 98
- 131
- 147
- 196
- 262
- 294
- 393
- 524
- 588
- 786
- 917
How is 77028 classified?
Prime
CompositeLearn more →
Perfect square
No
Perfect cube
No
Fibonacci
No
Triangular
YesLearn more →
Power of two
No
How is 77028 represented in other numeral systems?
Decimal
77028
Binary
10010110011100100
Octal
226344
Hexadecimal
12CE4
Roman
No conventional Roman numeral
In words
seventy seven thousand twenty eight
Roots and powers
Square root
277.539186 Approximate
Cube root
42.548365 Approximate
Nearest lower square
76729
Nearest higher square
77284
Nearest lower cube
74088
Nearest higher cube
79507
Sequence position
Triangular
Index: 392
What are the digit properties of 77028?
Which numbers are related to 77028?
Why these results are true
- 77028 is composite because it has positive divisors other than 1 and itself.
- 77028 is abundant because the sum of its proper divisors (133644) is greater than 77028.
- 77028 is triangular because it equals 392×(392+1)/2.
Compare this number
FAQ for 77028
- Is 77028 prime?
- No
- What is the prime factorization of 77028?
- 2² × 3 × 7² × 131
- Is 77028 a perfect square?
- No
- What is 77028 in binary?
- 10010110011100100