The number 51048
51048 is a composite number with 24 divisors. Its prime factorisation is × × 709. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 709, 1418, 2127, 2836 … 51048.
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How to work it out
- 1
What is special about 51048: a Harshad number: divisible by its digit sum 18.
- 2
51048 is composite. Its prime factorisation is
- 3
The divisors add up to 138450; without 51048 itself that is 87402, so 51048 is abundant (87402 is more than 51048). Euler's totient φ(51048) = 16992 numbers up to 51048 share no factor with it.
- 4
The digits of 51048 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51048 = 2^{3} \times 3^{2} \times 709 \]51048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 138450 |
| Euler totient φ(n) | 16992 |
| Square | 2605898304 |
| Cube | 133025896622592 |
| Square root | 225.938045 (= 6√1418) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.1048 × |
51048 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand and forty-eight |
| Binary (base 2) | 1100011101101000 |
| Octal (base 8) | 143550 |
| Hexadecimal (base 16) | C768 |
| Base 3 | 2121000200 |
| As time | 51048 seconds = 14 h 10 min 48 s |
Is 51048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51048 ÷ 2 = 25524) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51048 ÷ 3 = 17016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (51048 ÷ 4 = 12762) | 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 (51048 ÷ 6 = 8508) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (51048 ÷ 8 = 6381) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (51048 ÷ 9 = 5672) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (51048 ÷ 12 = 4254) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51048 a prime number?
No. 51048 = × × 709, so it is divisible by 2.
What are the factors of 51048?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 709, 1418, 2127, 2836, 4254, 5672, 6381, 8508, 12762, 17016, 25524, 51048.
What is 51048 in binary?
1100011101101000 (hexadecimal C768, octal 143550).
What is the square root of 51048?
About 225.9380, exactly 6√1418.
Is 51048 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 51048?
51048 is a Harshad number: divisible by its digit sum 18.