The number 48552
48552 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × . Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51 … 48552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48552: a Harshad number: divisible by its digit sum 24.
- 2
48552 is composite. Its prime factorisation is
- 3
The divisors add up to 147360; without 48552 itself that is 98808, so 48552 is abundant (98808 is more than 48552). Euler's totient φ(48552) = 13056 numbers up to 48552 share no factor with it.
- 4
The digits of 48552 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48552 = 2^{3} \times 3 \times 7 \times 17^{2} \]48552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 147360 |
| Euler totient φ(n) | 13056 |
| Square | 2357296704 |
| Cube | 114451469572608 |
| Square root | 220.345184 (= 34√42) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8552 × |
48552 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred and fifty-two |
| Binary (base 2) | 1011110110101000 |
| Octal (base 8) | 136650 |
| Hexadecimal (base 16) | BDA8 |
| Base 3 | 2110121020 |
| As time | 48552 seconds = 13 h 29 min 12 s |
Is 48552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48552 ÷ 2 = 24276) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48552 ÷ 3 = 16184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48552 ÷ 4 = 12138) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48552 ÷ 6 = 8092) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48552 ÷ 7 = 6936) | 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 (48552 ÷ 8 = 6069) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 (48552 ÷ 12 = 4046) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48552 a prime number?
No. 48552 = × 3 × 7 × , so it is divisible by 2.
What are the factors of 48552?
1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 289, 357, 408, 476, 578, 714, 867, 952, 1156, 1428, 1734, 2023, 2312, 2856, 3468, 4046, 6069, 6936, 8092, 12138, 16184, 24276, 48552.
What is 48552 in binary?
1011110110101000 (hexadecimal BDA8, octal 136650).
What is the square root of 48552?
About 220.3452, exactly 34√42.
Is 48552 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48552?
48552 is a Harshad number: divisible by its digit sum 24.