The number 48546
48546 is a composite number with 32 divisors. Its prime factorisation is 2 × × 29 × 31. Divisors (32): 1, 2, 3, 6, 9, 18, 27, 29, 31, 54, 58, 62, 87, 93, 174, 186 … 48546.
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How to work it out
- 1
What is special about 48546: a Harshad number: divisible by its digit sum 27.
- 2
48546 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 48546 itself that is 66654, so 48546 is abundant (66654 is more than 48546). Euler's totient φ(48546) = 15120 numbers up to 48546 share no factor with it.
- 4
The digits of 48546 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48546 = 2 \times 3^{3} \times 29 \times 31 \]48546 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 15120 |
| Square | 2356714116 |
| Cube | 114409043475336 |
| Square root | 220.331568 (= 3√5394) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8546 × |
48546 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred and forty-six |
| Binary (base 2) | 1011110110100010 |
| Octal (base 8) | 136642 |
| Hexadecimal (base 16) | BDA2 |
| Base 3 | 2110121000 |
| As time | 48546 seconds = 13 h 29 min 6 s |
Is 48546 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48546 ÷ 2 = 24273) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48546 ÷ 3 = 16182) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (48546 ÷ 6 = 8091) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48546 ÷ 9 = 5394) | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48546 a prime number?
No. 48546 = 2 × × 29 × 31, so it is divisible by 2.
What are the factors of 48546?
1, 2, 3, 6, 9, 18, 27, 29, 31, 54, 58, 62, 87, 93, 174, 186, 261, 279, 522, 558, 783, 837, 899, 1566, 1674, 1798, 2697, 5394, 8091, 16182, 24273, 48546.
What is 48546 in binary?
1011110110100010 (hexadecimal BDA2, octal 136642).
What is the square root of 48546?
About 220.3316, exactly 3√5394.
Is 48546 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48546?
48546 is a Harshad number: divisible by its digit sum 27.