The number 49720
49720 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 113. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 113, 220 … 49720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49720: a Harshad number: divisible by its digit sum 22.
- 2
49720 is composite. Its prime factorisation is
- 3
The divisors add up to 123120; without 49720 itself that is 73400, so 49720 is abundant (73400 is more than 49720). Euler's totient φ(49720) = 17920 numbers up to 49720 share no factor with it.
- 4
The digits of 49720 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49720 = 2^{3} \times 5 \times 11 \times 113 \]49720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 123120 |
| Euler totient φ(n) | 17920 |
| Square | 2472078400 |
| Cube | 122911738048000 |
| Square root | 222.979820 (= 2√12430) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.972 × |
49720 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and twenty |
| Binary (base 2) | 1100001000111000 |
| Octal (base 8) | 141070 |
| Hexadecimal (base 16) | C238 |
| Base 3 | 2112012111 |
| As time | 49720 seconds = 13 h 48 min 40 s |
Is 49720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49720 ÷ 2 = 24860) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49720 ÷ 4 = 12430) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49720 ÷ 5 = 9944) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (49720 ÷ 8 = 6215) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49720 ÷ 10 = 4972) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49720 ÷ 11 = 4520) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49720 a prime number?
No. 49720 = × 5 × 11 × 113, so it is divisible by 2.
What are the factors of 49720?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 113, 220, 226, 440, 452, 565, 904, 1130, 1243, 2260, 2486, 4520, 4972, 6215, 9944, 12430, 24860, 49720.
What is 49720 in binary?
1100001000111000 (hexadecimal C238, octal 141070).
What is the square root of 49720?
About 222.9798, exactly 2√12430.
Is 49720 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 49720?
49720 is a Harshad number: divisible by its digit sum 22.