The number 49168
49168 is a composite number with 20 divisors. Its prime factorisation is × 7 × 439. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 439, 878, 1756, 3073, 3512, 6146 … 49168.
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How to work it out
- 1
What is special about 49168: a Harshad number: divisible by its digit sum 28.
- 2
49168 is composite. Its prime factorisation is
- 3
The divisors add up to 109120; without 49168 itself that is 59952, so 49168 is abundant (59952 is more than 49168). Euler's totient φ(49168) = 21024 numbers up to 49168 share no factor with it.
- 4
The digits of 49168 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49168 = 2^{4} \times 7 \times 439 \]49168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 109120 |
| Euler totient φ(n) | 21024 |
| Square | 2417492224 |
| Cube | 118863257669632 |
| Square root | 221.738585 (= 4√3073) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9168 × |
49168 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred and sixty-eight |
| Binary (base 2) | 1100000000010000 |
| Octal (base 8) | 140020 |
| Hexadecimal (base 16) | C010 |
| Base 3 | 2111110001 |
| As time | 49168 seconds = 13 h 39 min 28 s |
Is 49168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49168 ÷ 2 = 24584) | 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 (49168 ÷ 4 = 12292) | 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 | Yes (49168 ÷ 7 = 7024) | 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 (49168 ÷ 8 = 6146) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49168 a prime number?
No. 49168 = × 7 × 439, so it is divisible by 2.
What are the factors of 49168?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 439, 878, 1756, 3073, 3512, 6146, 7024, 12292, 24584, 49168.
What is 49168 in binary?
1100000000010000 (hexadecimal C010, octal 140020).
What is the square root of 49168?
About 221.7386, exactly 4√3073.
Is 49168 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49168?
49168 is a Harshad number: divisible by its digit sum 28.