1148
Number 1148: Properties, Factors, and Mathematical Facts
Short answer
The number 1148 is an even composite number with 12 positive divisors. Its prime factorization is 2² × 7 × 41. It is also an abundant number, which gives it several notable mathematical relationships.
Is 1148 prime?
ClassificationCompositeParityEvenDivisor count12AbundanceAbundant
What is the prime factorization of 1148?
Prime factorization
2 squared times 7 times 41
What are the divisors of 1148?
Divisor count
12
Divisor sum
2,352
Proper divisor sum
1,204
- 1
- 2
- 4
- 7
- 14
- 28
- 41
- 82
- 164
- 287
- 574
- 1148
How is 1148 classified?
How is 1148 represented in other numeral systems?
Decimal
1148
Binary
10001111100
Octal
2174
Hexadecimal
47C
Roman
MCXLVIIILearn more →
In words
one thousand one hundred forty eight
Roots and powers
Square root
33.882149 Approximate
Cube root
10.470818 Approximate
Nearest lower square
1089
Nearest higher square
1156
Nearest lower cube
1000
Nearest higher cube
1331
What are the digit properties of 1148?
Which numbers are related to 1148?
Why these results are true
- 1148 is composite because it has positive divisors other than 1 and itself.
- 1148 is abundant because the sum of its proper divisors (1204) is greater than 1148.
Compare this number
FAQ for 1148
- Is 1148 prime?
- No
- What is the prime factorization of 1148?
- 2² × 7 × 41
- Is 1148 a perfect square?
- No
- What is 1148 in binary?
- 10001111100
- What is 1148 in Roman numerals?
- MCXLVIII