15488
Number 15488: Properties, Factors, and Mathematical Facts
Short answer
The number 15488 is an even composite number with 24 positive divisors. Its prime factorization is 2⁷ × 11². It is also an abundant number, which gives it several notable mathematical relationships.
Is 15488 prime?
ClassificationCompositeParityEvenDivisor count24AbundanceAbundant
What is the prime factorization of 15488?
Prime factorization
2 to the power of 7 times 11 squared
What are the divisors of 15488?
Divisor count
24
Divisor sum
33,915
Proper divisor sum
18,427
- 1
- 2
- 4
- 8
- 11
- 16
- 22
- 32
- 44
- 64
- 88
- 121
- 128
- 176
- 242
- 352
- 484
- 704
- 968
- 1408
- 1936
- 3872
- 7744
- 15488
How is 15488 classified?
How is 15488 represented in other numeral systems?
Decimal
15488
Binary
11110010000000
Octal
36200
Hexadecimal
3C80
Roman
No conventional Roman numeral
In words
fifteen thousand four hundred eighty eight
Roots and powers
Square root
124.450793 Approximate
Cube root
24.926719 Approximate
Nearest lower square
15376
Nearest higher square
15625
Nearest lower cube
13824
Nearest higher cube
15625
What are the digit properties of 15488?
Which numbers are related to 15488?
Why these results are true
- 15488 is composite because it has positive divisors other than 1 and itself.
- 15488 is abundant because the sum of its proper divisors (18427) is greater than 15488.
Compare this number
FAQ for 15488
- Is 15488 prime?
- No
- What is the prime factorization of 15488?
- 2⁷ × 11²
- Is 15488 a perfect square?
- No
- What is 15488 in binary?
- 11110010000000