The number 49100
49100 is a composite number with 18 divisors. Its prime factorisation is × × 491. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 491, 982, 1964, 2455, 4910, 9820, 12275 … 49100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49100 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49100 is composite. Its prime factorisation is
- 3
The divisors add up to 106764; without 49100 itself that is 57664, so 49100 is abundant (57664 is more than 49100). Euler's totient φ(49100) = 19600 numbers up to 49100 share no factor with it.
- 4
The digits of 49100 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49100 = 2^{2} \times 5^{2} \times 491 \]49100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 106764 |
| Euler totient φ(n) | 19600 |
| Square | 2410810000 |
| Cube | 118370771000000 |
| Square root | 221.585198 (= 10√491) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.91 × |
49100 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred |
| Binary (base 2) | 1011111111001100 |
| Octal (base 8) | 137714 |
| Hexadecimal (base 16) | BFCC |
| Base 3 | 2111100112 |
| As time | 49100 seconds = 13 h 38 min 20 s |
Is 49100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49100 ÷ 2 = 24550) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49100 ÷ 4 = 12275) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49100 ÷ 5 = 9820) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49100 ÷ 10 = 4910) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49100 a prime number?
No. 49100 = × × 491, so it is divisible by 2.
What are the factors of 49100?
1, 2, 4, 5, 10, 20, 25, 50, 100, 491, 982, 1964, 2455, 4910, 9820, 12275, 24550, 49100.
What is 49100 in binary?
1011111111001100 (hexadecimal BFCC, octal 137714).
What is the square root of 49100?
About 221.5852, exactly 10√491.
Is 49100 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 49100?
It is a composite number with 18 divisors.