33488
Number 33488: Properties, Factors, and Mathematical Facts
Short answer
The number 33488 is an even composite number with 40 positive divisors. Its prime factorization is 2⁴ × 7 × 13 × 23. It is also an abundant number, which gives it several notable mathematical relationships.
Is 33488 prime?
ClassificationCompositeParityEvenDivisor count40AbundanceAbundant
What is the prime factorization of 33488?
Prime factorization
2 to the power of 4 times 7 times 13 times 23
What are the divisors of 33488?
Divisor count
40
Divisor sum
83,328
Proper divisor sum
49,840
- 1
- 2
- 4
- 7
- 8
- 13
- 14
- 16
- 23
- 26
- 28
- 46
- 52
- 56
- 91
- 92
- 104
- 112
- 161
- 182
- 184
- 208
- 299
- 322
How is 33488 classified?
How is 33488 represented in other numeral systems?
Decimal
33488
Binary
1000001011010000
Octal
101320
Hexadecimal
82D0
Roman
No conventional Roman numeral
In words
thirty three thousand four hundred eighty eight
Roots and powers
Square root
182.997268 Approximate
Cube root
32.232679 Approximate
Nearest lower square
33124
Nearest higher square
33489
Nearest lower cube
32768
Nearest higher cube
35937
What are the digit properties of 33488?
Which numbers are related to 33488?
Why these results are true
- 33488 is composite because it has positive divisors other than 1 and itself.
- 33488 is abundant because the sum of its proper divisors (49840) is greater than 33488.
Compare this number
FAQ for 33488
- Is 33488 prime?
- No
- What is the prime factorization of 33488?
- 2⁴ × 7 × 13 × 23
- Is 33488 a perfect square?
- No
- What is 33488 in binary?
- 1000001011010000