The number 49049
49049 is a composite number with 16 divisors. Its prime factorisation is × 11 × 13. Divisors (16): 1, 7, 11, 13, 49, 77, 91, 143, 343, 539, 637, 1001, 3773, 4459, 7007, 49049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49049 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49049 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 49049 itself that is 18151, so 49049 is deficient (18151 is less than 49049). Euler's totient φ(49049) = 35280 numbers up to 49049 share no factor with it.
- 4
The digits of 49049 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49049 = 7^{3} \times 11 \times 13 \]49049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 35280 |
| Square | 2405804401 |
| Cube | 118002300064649 |
| Square root | 221.470088 (= 7√1001) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9049 × |
49049 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and forty-nine |
| Binary (base 2) | 1011111110011001 |
| Octal (base 8) | 137631 |
| Hexadecimal (base 16) | BF99 |
| Base 3 | 2111021122 |
| As time | 49049 seconds = 13 h 37 min 29 s |
Is 49049 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49049 ÷ 7 = 7007) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49049 ÷ 11 = 4459) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49049 a prime number?
No. 49049 = × 11 × 13, so it is divisible by 7.
What are the factors of 49049?
1, 7, 11, 13, 49, 77, 91, 143, 343, 539, 637, 1001, 3773, 4459, 7007, 49049.
What is 49049 in binary?
1011111110011001 (hexadecimal BF99, octal 137631).
What is the square root of 49049?
About 221.4701, exactly 7√1001.
Is 49049 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 49049?
It is a composite number with 16 divisors.