The number 48708
48708 is a composite number with 48 divisors. Its prime factorisation is × × 11 × 41. Divisors (48): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 41, 44, 54 … 48708.
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How to work it out
- 1
What is special about 48708: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
48708 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 48708 itself that is 92412, so 48708 is abundant (92412 is more than 48708). Euler's totient φ(48708) = 14400 numbers up to 48708 share no factor with it.
- 4
The digits of 48708 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48708 = 2^{2} \times 3^{3} \times 11 \times 41 \]48708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 14400 |
| Square | 2372469264 |
| Cube | 115558232910912 |
| Square root | 220.698890 (= 6√1353) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8708 × |
48708 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and eight |
| Binary (base 2) | 1011111001000100 |
| Octal (base 8) | 137104 |
| Hexadecimal (base 16) | BE44 |
| Base 3 | 2110211000 |
| As time | 48708 seconds = 13 h 31 min 48 s |
Is 48708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48708 ÷ 2 = 24354) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48708 ÷ 3 = 16236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48708 ÷ 4 = 12177) | 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 (48708 ÷ 6 = 8118) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48708 ÷ 9 = 5412) | 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 | Yes (48708 ÷ 11 = 4428) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48708 ÷ 12 = 4059) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48708 a prime number?
No. 48708 = × × 11 × 41, so it is divisible by 2.
What are the factors of 48708?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 41, 44, 54, 66, 82, 99, 108, 123, 132, 164, 198, 246, 297, 369, 396, 451, 492, 594, 738, 902, 1107, 1188, 1353, 1476, 1804, 2214, 2706, 4059, 4428, 5412, 8118, 12177, 16236, 24354, 48708.
What is 48708 in binary?
1011111001000100 (hexadecimal BE44, octal 137104).
What is the square root of 48708?
About 220.6989, exactly 6√1353.
Is 48708 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48708?
48708 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.