The number 49896
49896 is a composite number with 80 divisors. Its prime factorisation is × × 7 × 11. Divisors (80): 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 27 … 49896.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49896: a Harshad number: divisible by its digit sum 36.
- 2
49896 is composite. Its prime factorisation is
- 3
The divisors add up to 174240; without 49896 itself that is 124344, so 49896 is abundant (124344 is more than 49896). Euler's totient φ(49896) = 12960 numbers up to 49896 share no factor with it.
- 4
The digits of 49896 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
\[ 49896 = 2^{3} \times 3^{4} \times 7 \times 11 \]49896 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 174240 |
| Euler totient φ(n) | 12960 |
| Square | 2489610816 |
| Cube | 124221621275136 |
| Square root | 223.374126 (= 18√154) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9896 × |
49896 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and ninety-six |
| Binary (base 2) | 1100001011101000 |
| Octal (base 8) | 141350 |
| Hexadecimal (base 16) | C2E8 |
| Base 3 | 2112110000 |
| As time | 49896 seconds = 13 h 51 min 36 s |
Is 49896 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49896 ÷ 2 = 24948) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49896 ÷ 3 = 16632) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49896 ÷ 4 = 12474) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49896 ÷ 6 = 8316) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49896 ÷ 7 = 7128) | 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 (49896 ÷ 8 = 6237) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49896 ÷ 9 = 5544) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49896 ÷ 11 = 4536) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49896 ÷ 12 = 4158) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49896 a prime number?
No. 49896 = × × 7 × 11, so it is divisible by 2.
What are the factors of 49896?
1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 27, 28, 33, 36, 42, 44, 54, 56, 63, 66, 72, 77, 81, 84, 88, 99, 108, 126, 132, 154, 162, 168, 189, 198, 216, 231, 252, 264, 297, 308, 324, 378, 396, 462, 504, 567, 594, 616, 648, 693, 756, 792, 891, 924, 1134, 1188, 1386, 1512, 1782, 1848, 2079, 2268, 2376, 2772, 3564, 4158, 4536, 5544, 6237, 7128, 8316, 12474, 16632, 24948, 49896.
What is 49896 in binary?
1100001011101000 (hexadecimal C2E8, octal 141350).
What is the square root of 49896?
About 223.3741, exactly 18√154.
Is 49896 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 49896?
49896 is a Harshad number: divisible by its digit sum 36.