The number 48880
48880 is a composite number with 40 divisors. Its prime factorisation is × 5 × 13 × 47. Divisors (40): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 47, 52, 65, 80, 94 … 48880.
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How to work it out
- 1
What is special about 48880: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48880 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 48880 itself that is 76112, so 48880 is abundant (76112 is more than 48880). Euler's totient φ(48880) = 17664 numbers up to 48880 share no factor with it.
- 4
The digits of 48880 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48880 = 2^{4} \times 5 \times 13 \times 47 \]48880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 17664 |
| Square | 2389254400 |
| Cube | 116786755072000 |
| Square root | 221.088218 (= 4√3055) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.888 × |
48880 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and eighty |
| Binary (base 2) | 1011111011110000 |
| Octal (base 8) | 137360 |
| Hexadecimal (base 16) | BEF0 |
| Base 3 | 2111001101 |
| As time | 48880 seconds = 13 h 34 min 40 s |
Is 48880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48880 ÷ 2 = 24440) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48880 ÷ 4 = 12220) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48880 ÷ 5 = 9776) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (48880 ÷ 8 = 6110) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48880 ÷ 10 = 4888) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48880 a prime number?
No. 48880 = × 5 × 13 × 47, so it is divisible by 2.
What are the factors of 48880?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 47, 52, 65, 80, 94, 104, 130, 188, 208, 235, 260, 376, 470, 520, 611, 752, 940, 1040, 1222, 1880, 2444, 3055, 3760, 4888, 6110, 9776, 12220, 24440, 48880.
What is 48880 in binary?
1011111011110000 (hexadecimal BEF0, octal 137360).
What is the square root of 48880?
About 221.0882, exactly 4√3055.
Is 48880 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48880?
48880 is a happy number: repeatedly adding the squares of its digits reaches 1.