The number 49608
49608 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 53. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 53 … 49608.
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How to work it out
- 1
49608 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49608 is composite. Its prime factorisation is
- 3
The divisors add up to 147420; without 49608 itself that is 97812, so 49608 is abundant (97812 is more than 49608). Euler's totient φ(49608) = 14976 numbers up to 49608 share no factor with it.
- 4
The digits of 49608 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49608 = 2^{3} \times 3^{2} \times 13 \times 53 \]49608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 147420 |
| Euler totient φ(n) | 14976 |
| Square | 2460953664 |
| Cube | 122082989363712 |
| Square root | 222.728534 (= 6√1378) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9608 × |
49608 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and eight |
| Binary (base 2) | 1100000111001000 |
| Octal (base 8) | 140710 |
| Hexadecimal (base 16) | C1C8 |
| Base 3 | 2112001100 |
| As time | 49608 seconds = 13 h 46 min 48 s |
Is 49608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49608 ÷ 2 = 24804) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49608 ÷ 3 = 16536) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49608 ÷ 4 = 12402) | 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 (49608 ÷ 6 = 8268) | 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 (49608 ÷ 8 = 6201) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49608 ÷ 9 = 5512) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49608 ÷ 12 = 4134) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49608 a prime number?
No. 49608 = × × 13 × 53, so it is divisible by 2.
What are the factors of 49608?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 53, 72, 78, 104, 106, 117, 156, 159, 212, 234, 312, 318, 424, 468, 477, 636, 689, 936, 954, 1272, 1378, 1908, 2067, 2756, 3816, 4134, 5512, 6201, 8268, 12402, 16536, 24804, 49608.
What is 49608 in binary?
1100000111001000 (hexadecimal C1C8, octal 140710).
What is the square root of 49608?
About 222.7285, exactly 6√1378.
Is 49608 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49608?
It is a composite number with 48 divisors.