36864
Number 36864: Properties, Factors, and Mathematical Facts
Short answer
The number 36864 is an even composite number with 39 positive divisors. Its prime factorization is 2¹² × 3². It is also an abundant number and a perfect square, which gives it several notable mathematical relationships.
Is 36864 prime?
ClassificationCompositeParityEvenDivisor count39AbundanceAbundant
What is the prime factorization of 36864?
Prime factorization
2 to the power of 12 times 3 squared
What are the divisors of 36864?
Divisor count
39
Divisor sum
106,483
Proper divisor sum
69,619
- 1
- 2
- 3
- 4
- 6
- 8
- 9
- 12
- 16
- 18
- 24
- 32
- 36
- 48
- 64
- 72
- 96
- 128
- 144
- 192
- 256
- 288
- 384
- 512
How is 36864 classified?
Prime
CompositeLearn more →
Perfect square
YesLearn more →
Perfect cube
No
Fibonacci
No
Triangular
No
Power of two
No
How is 36864 represented in other numeral systems?
Decimal
36864
Binary
1001000000000000
Octal
110000
Hexadecimal
9000
Roman
No conventional Roman numeral
In words
thirty six thousand eight hundred sixty four
Roots and powers
Square root
192 Exact
Cube root
33.281341 Approximate
Nearest lower square
36864
Nearest higher square
37249
Nearest lower cube
35937
Nearest higher cube
39304
What are the digit properties of 36864?
Which numbers are related to 36864?
Why these results are true
- 36864 is composite because it has positive divisors other than 1 and itself.
- 36864 is abundant because the sum of its proper divisors (69619) is greater than 36864.
Compare this number
FAQ for 36864
- Is 36864 prime?
- No
- What is the prime factorization of 36864?
- 2¹² × 3²
- Is 36864 a perfect square?
- Yes
- What is 36864 in binary?
- 1001000000000000