The number 48888
48888 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 97. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42 … 48888.
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How to work it out
- 1
What is special about 48888: a Harshad number: divisible by its digit sum 36.
- 2
48888 is composite. Its prime factorisation is
- 3
The divisors add up to 152880; without 48888 itself that is 103992, so 48888 is abundant (103992 is more than 48888). Euler's totient φ(48888) = 13824 numbers up to 48888 share no factor with it.
- 4
The digits of 48888 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48888 = 2^{3} \times 3^{2} \times 7 \times 97 \]48888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 152880 |
| Euler totient φ(n) | 13824 |
| Square | 2390036544 |
| Cube | 116844106563072 |
| Square root | 221.106309 (= 6√1358) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8888 × |
48888 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and eighty-eight |
| Binary (base 2) | 1011111011111000 |
| Octal (base 8) | 137370 |
| Hexadecimal (base 16) | BEF8 |
| Base 3 | 2111001200 |
| As time | 48888 seconds = 13 h 34 min 48 s |
Is 48888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48888 ÷ 2 = 24444) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48888 ÷ 3 = 16296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48888 ÷ 4 = 12222) | 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 (48888 ÷ 6 = 8148) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48888 ÷ 7 = 6984) | 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 (48888 ÷ 8 = 6111) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48888 ÷ 9 = 5432) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48888 ÷ 12 = 4074) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48888 a prime number?
No. 48888 = × × 7 × 97, so it is divisible by 2.
What are the factors of 48888?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 97, 126, 168, 194, 252, 291, 388, 504, 582, 679, 776, 873, 1164, 1358, 1746, 2037, 2328, 2716, 3492, 4074, 5432, 6111, 6984, 8148, 12222, 16296, 24444, 48888.
What is 48888 in binary?
1011111011111000 (hexadecimal BEF8, octal 137370).
What is the square root of 48888?
About 221.1063, exactly 6√1358.
Is 48888 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 48888?
48888 is a Harshad number: divisible by its digit sum 36.