46920
Number 46920: Properties, Factors, and Mathematical Facts
Short answer
The number 46920 is an even composite number with 64 positive divisors. Its prime factorization is 2³ × 3 × 5 × 17 × 23. It is also an abundant number, which gives it several notable mathematical relationships.
Is 46920 prime?
ClassificationCompositeParityEvenDivisor count64AbundanceAbundant
What is the prime factorization of 46920?
Prime factorization
2 cubed times 3 times 5 times 17 times 23
What are the divisors of 46920?
Divisor count
64
Divisor sum
155,520
Proper divisor sum
108,600
- 1
- 2
- 3
- 4
- 5
- 6
- 8
- 10
- 12
- 15
- 17
- 20
- 23
- 24
- 30
- 34
- 40
- 46
- 51
- 60
- 68
- 69
- 85
- 92
How is 46920 classified?
How is 46920 represented in other numeral systems?
Decimal
46920
Binary
1011011101001000
Octal
133510
Hexadecimal
B748
Roman
No conventional Roman numeral
In words
forty six thousand nine hundred twenty
Roots and powers
Square root
216.610249 Approximate
Cube root
36.067774 Approximate
Nearest lower square
46656
Nearest higher square
47089
Nearest lower cube
46656
Nearest higher cube
50653
What are the digit properties of 46920?
Which numbers are related to 46920?
Why these results are true
- 46920 is composite because it has positive divisors other than 1 and itself.
- 46920 is abundant because the sum of its proper divisors (108600) is greater than 46920.
Compare this number
FAQ for 46920
- Is 46920 prime?
- No
- What is the prime factorization of 46920?
- 2³ × 3 × 5 × 17 × 23
- Is 46920 a perfect square?
- No
- What is 46920 in binary?
- 1011011101001000