The number 49740
49740 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 829. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 829, 1658, 2487, 3316 … 49740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49740 is composite. Its prime factorisation is
- 3
The divisors add up to 139440; without 49740 itself that is 89700, so 49740 is abundant (89700 is more than 49740). Euler's totient φ(49740) = 13248 numbers up to 49740 share no factor with it.
- 4
The digits of 49740 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49740 = 2^{2} \times 3 \times 5 \times 829 \]49740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 139440 |
| Euler totient φ(n) | 13248 |
| Square | 2474067600 |
| Cube | 123060122424000 |
| Square root | 223.024662 (= 2√12435) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.974 × |
49740 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and forty |
| Binary (base 2) | 1100001001001100 |
| Octal (base 8) | 141114 |
| Hexadecimal (base 16) | C24C |
| Base 3 | 2112020020 |
| As time | 49740 seconds = 13 h 49 min 0 s |
Is 49740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49740 ÷ 2 = 24870) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49740 ÷ 3 = 16580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49740 ÷ 4 = 12435) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49740 ÷ 5 = 9948) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49740 ÷ 6 = 8290) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49740 ÷ 10 = 4974) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49740 ÷ 12 = 4145) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49740 a prime number?
No. 49740 = × 3 × 5 × 829, so it is divisible by 2.
What are the factors of 49740?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 829, 1658, 2487, 3316, 4145, 4974, 8290, 9948, 12435, 16580, 24870, 49740.
What is 49740 in binary?
1100001001001100 (hexadecimal C24C, octal 141114).
What is the square root of 49740?
About 223.0247, exactly 2√12435.
Is 49740 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49740?
It is a composite number with 24 divisors.