The number 48762
48762 is a composite number with 40 divisors. Its prime factorisation is 2 × × 7 × 43. Divisors (40): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 43, 54, 63, 81, 86 … 48762.
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How to work it out
- 1
What is special about 48762: a Harshad number: divisible by its digit sum 27.
- 2
48762 is composite. Its prime factorisation is
- 3
The divisors add up to 127776; without 48762 itself that is 79014, so 48762 is abundant (79014 is more than 48762). Euler's totient φ(48762) = 13608 numbers up to 48762 share no factor with it.
- 4
The digits of 48762 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
\[ 48762 = 2 \times 3^{4} \times 7 \times 43 \]48762 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 127776 |
| Euler totient φ(n) | 13608 |
| Square | 2377732644 |
| Cube | 115942999186728 |
| Square root | 220.821195 (= 9√602) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8762 × |
48762 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and sixty-two |
| Binary (base 2) | 1011111001111010 |
| Octal (base 8) | 137172 |
| Hexadecimal (base 16) | BE7A |
| Base 3 | 2110220000 |
| As time | 48762 seconds = 13 h 32 min 42 s |
Is 48762 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48762 ÷ 2 = 24381) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48762 ÷ 3 = 16254) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48762 ÷ 6 = 8127) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48762 ÷ 7 = 6966) | 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 (48762 ÷ 9 = 5418) | 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 10) | 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 48762 a prime number?
No. 48762 = 2 × × 7 × 43, so it is divisible by 2.
What are the factors of 48762?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 43, 54, 63, 81, 86, 126, 129, 162, 189, 258, 301, 378, 387, 567, 602, 774, 903, 1134, 1161, 1806, 2322, 2709, 3483, 5418, 6966, 8127, 16254, 24381, 48762.
What is 48762 in binary?
1011111001111010 (hexadecimal BE7A, octal 137172).
What is the square root of 48762?
About 220.8212, exactly 9√602.
Is 48762 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48762?
48762 is a Harshad number: divisible by its digit sum 27.