The number 49749
49749 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 23 × 103. Divisors (16): 1, 3, 7, 21, 23, 69, 103, 161, 309, 483, 721, 2163, 2369, 7107, 16583, 49749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49749 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49749 is composite. Its prime factorisation is
- 3
The divisors add up to 79872; without 49749 itself that is 30123, so 49749 is deficient (30123 is less than 49749). Euler's totient φ(49749) = 26928 numbers up to 49749 share no factor with it.
- 4
The digits of 49749 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49749 = 3 \times 7 \times 23 \times 103 \]
49749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79872 |
| Euler totient φ(n) | 26928 |
| Square | 2474963001 |
| Cube | 123126934336749 |
| Square root | 223.044839 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9749 × |
49749 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and forty-nine |
| Binary (base 2) | 1100001001010101 |
| Octal (base 8) | 141125 |
| Hexadecimal (base 16) | C255 |
| Base 3 | 2112020120 |
| As time | 49749 seconds = 13 h 49 min 9 s |
Is 49749 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 | Yes (49749 ÷ 3 = 16583) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49749 ÷ 7 = 7107) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49749 a prime number?
No. 49749 = 3 × 7 × 23 × 103, so it is divisible by 3.
What are the factors of 49749?
1, 3, 7, 21, 23, 69, 103, 161, 309, 483, 721, 2163, 2369, 7107, 16583, 49749.
What is 49749 in binary?
1100001001010101 (hexadecimal C255, octal 141125).
What is the square root of 49749?
About 223.0448.
Is 49749 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49749?
It is a composite number with 16 divisors.