The number 49408
49408 is a composite number with 18 divisors. Its prime factorisation is × 193. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 193, 256, 386, 772, 1544, 3088, 6176, 12352 … 49408.
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How to work it out
- 1
49408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49408 is composite. Its prime factorisation is
- 3
The divisors add up to 99134; without 49408 itself that is 49726, so 49408 is abundant (49726 is more than 49408). Euler's totient φ(49408) = 24576 numbers up to 49408 share no factor with it.
- 4
The digits of 49408 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49408 = 2^{8} \times 193 \]49408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 99134 |
| Euler totient φ(n) | 24576 |
| Square | 2441150464 |
| Cube | 120612362125312 |
| Square root | 222.279104 (= 16√193) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9408 × |
49408 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and eight |
| Binary (base 2) | 1100000100000000 |
| Octal (base 8) | 140400 |
| Hexadecimal (base 16) | C100 |
| Base 3 | 2111202221 |
| As time | 49408 seconds = 13 h 43 min 28 s |
Is 49408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49408 ÷ 2 = 24704) | 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 (49408 ÷ 4 = 12352) | 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 | No (remainder 4) | 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 (49408 ÷ 8 = 6176) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49408 a prime number?
No. 49408 = × 193, so it is divisible by 2.
What are the factors of 49408?
1, 2, 4, 8, 16, 32, 64, 128, 193, 256, 386, 772, 1544, 3088, 6176, 12352, 24704, 49408.
What is 49408 in binary?
1100000100000000 (hexadecimal C100, octal 140400).
What is the square root of 49408?
About 222.2791, exactly 16√193.
Is 49408 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 49408?
It is a composite number with 18 divisors.