37264
Number 37264: Properties, Factors, and Mathematical Facts
Short answer
The number 37264 is an even composite number with 20 positive divisors. Its prime factorization is 2⁴ × 17 × 137. It is also an abundant number, which gives it several notable mathematical relationships.
Is 37264 prime?
ClassificationCompositeParityEvenDivisor count20AbundanceAbundant
What is the prime factorization of 37264?
Prime factorization
2 to the power of 4 times 17 times 137
What are the divisors of 37264?
Divisor count
20
Divisor sum
77,004
Proper divisor sum
39,740
- 1
- 2
- 4
- 8
- 16
- 17
- 34
- 68
- 136
- 137
- 272
- 274
- 548
- 1096
- 2192
- 2329
- 4658
- 9316
- 18632
- 37264
How is 37264 classified?
How is 37264 represented in other numeral systems?
Decimal
37264
Binary
1001000110010000
Octal
110620
Hexadecimal
9190
Roman
No conventional Roman numeral
In words
thirty seven thousand two hundred sixty four
Roots and powers
Square root
193.038856 Approximate
Cube root
33.401284 Approximate
Nearest lower square
37249
Nearest higher square
37636
Nearest lower cube
35937
Nearest higher cube
39304
What are the digit properties of 37264?
Which numbers are related to 37264?
Why these results are true
- 37264 is composite because it has positive divisors other than 1 and itself.
- 37264 is abundant because the sum of its proper divisors (39740) is greater than 37264.
Compare this number
FAQ for 37264
- Is 37264 prime?
- No
- What is the prime factorization of 37264?
- 2⁴ × 17 × 137
- Is 37264 a perfect square?
- No
- What is 37264 in binary?
- 1001000110010000