The number 48168
48168 is a composite number with 32 divisors. Its prime factorisation is × × 223. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216 … 48168.
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How to work it out
- 1
What is special about 48168: a Harshad number: divisible by its digit sum 27.
- 2
48168 is composite. Its prime factorisation is
- 3
The divisors add up to 134400; without 48168 itself that is 86232, so 48168 is abundant (86232 is more than 48168). Euler's totient φ(48168) = 15984 numbers up to 48168 share no factor with it.
- 4
The digits of 48168 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48168 = 2^{3} \times 3^{3} \times 223 \]48168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 134400 |
| Euler totient φ(n) | 15984 |
| Square | 2320156224 |
| Cube | 111757284997632 |
| Square root | 219.472094 (= 6√1338) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8168 × |
48168 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and sixty-eight |
| Binary (base 2) | 1011110000101000 |
| Octal (base 8) | 136050 |
| Hexadecimal (base 16) | BC28 |
| Base 3 | 2110002000 |
| As time | 48168 seconds = 13 h 22 min 48 s |
Is 48168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48168 ÷ 2 = 24084) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48168 ÷ 3 = 16056) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48168 ÷ 4 = 12042) | 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 (48168 ÷ 6 = 8028) | 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 (48168 ÷ 8 = 6021) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48168 ÷ 9 = 5352) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48168 ÷ 12 = 4014) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48168 a prime number?
No. 48168 = × × 223, so it is divisible by 2.
What are the factors of 48168?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 223, 446, 669, 892, 1338, 1784, 2007, 2676, 4014, 5352, 6021, 8028, 12042, 16056, 24084, 48168.
What is 48168 in binary?
1011110000101000 (hexadecimal BC28, octal 136050).
What is the square root of 48168?
About 219.4721, exactly 6√1338.
Is 48168 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48168?
48168 is a Harshad number: divisible by its digit sum 27.