The number 49848
49848 is a composite number with 32 divisors. Its prime factorisation is × 3 × 31 × 67. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 67, 93, 124, 134, 186, 201 … 49848.
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How to work it out
- 1
49848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49848 is composite. Its prime factorisation is
- 3
The divisors add up to 130560; without 49848 itself that is 80712, so 49848 is abundant (80712 is more than 49848). Euler's totient φ(49848) = 15840 numbers up to 49848 share no factor with it.
- 4
The digits of 49848 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49848 = 2^{3} \times 3 \times 31 \times 67 \]49848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 130560 |
| Euler totient φ(n) | 15840 |
| Square | 2484823104 |
| Cube | 123863462088192 |
| Square root | 223.266657 (= 2√12462) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9848 × |
49848 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and forty-eight |
| Binary (base 2) | 1100001010111000 |
| Octal (base 8) | 141270 |
| Hexadecimal (base 16) | C2B8 |
| Base 3 | 2112101020 |
| As time | 49848 seconds = 13 h 50 min 48 s |
Is 49848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49848 ÷ 2 = 24924) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49848 ÷ 3 = 16616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49848 ÷ 4 = 12462) | 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 (49848 ÷ 6 = 8308) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (49848 ÷ 8 = 6231) | 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 8) | 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 | Yes (49848 ÷ 12 = 4154) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49848 a prime number?
No. 49848 = × 3 × 31 × 67, so it is divisible by 2.
What are the factors of 49848?
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 67, 93, 124, 134, 186, 201, 248, 268, 372, 402, 536, 744, 804, 1608, 2077, 4154, 6231, 8308, 12462, 16616, 24924, 49848.
What is 49848 in binary?
1100001010111000 (hexadecimal C2B8, octal 141270).
What is the square root of 49848?
About 223.2667, exactly 2√12462.
Is 49848 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49848?
It is a composite number with 32 divisors.