The number 49968
49968 is a composite number with 30 divisors. Its prime factorisation is × × 347. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 347 … 49968.
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How to work it out
- 1
What is special about 49968: a Harshad number: divisible by its digit sum 36.
- 2
49968 is composite. Its prime factorisation is
- 3
The divisors add up to 140244; without 49968 itself that is 90276, so 49968 is abundant (90276 is more than 49968). Euler's totient φ(49968) = 16608 numbers up to 49968 share no factor with it.
- 4
The digits of 49968 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49968 = 2^{4} \times 3^{2} \times 347 \]49968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 140244 |
| Euler totient φ(n) | 16608 |
| Square | 2496801024 |
| Cube | 124760153567232 |
| Square root | 223.535232 (= 12√347) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9968 × |
49968 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and sixty-eight |
| Binary (base 2) | 1100001100110000 |
| Octal (base 8) | 141460 |
| Hexadecimal (base 16) | C330 |
| Base 3 | 2112112200 |
| As time | 49968 seconds = 13 h 52 min 48 s |
Is 49968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49968 ÷ 2 = 24984) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49968 ÷ 3 = 16656) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49968 ÷ 4 = 12492) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49968 ÷ 6 = 8328) | 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 | Yes (49968 ÷ 8 = 6246) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49968 ÷ 9 = 5552) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49968 ÷ 12 = 4164) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49968 a prime number?
No. 49968 = × × 347, so it is divisible by 2.
What are the factors of 49968?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 347, 694, 1041, 1388, 2082, 2776, 3123, 4164, 5552, 6246, 8328, 12492, 16656, 24984, 49968.
What is 49968 in binary?
1100001100110000 (hexadecimal C330, octal 141460).
What is the square root of 49968?
About 223.5352, exactly 12√347.
Is 49968 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 49968?
49968 is a Harshad number: divisible by its digit sum 36.