The number 49880
49880 is a composite number with 32 divisors. Its prime factorisation is × 5 × 29 × 43. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 29, 40, 43, 58, 86, 116, 145, 172, 215 … 49880.
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How to work it out
- 1
What is special about 49880: a Harshad number: divisible by its digit sum 29.
- 2
49880 is composite. Its prime factorisation is
- 3
The divisors add up to 118800; without 49880 itself that is 68920, so 49880 is abundant (68920 is more than 49880). Euler's totient φ(49880) = 18816 numbers up to 49880 share no factor with it.
- 4
The digits of 49880 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49880 = 2^{3} \times 5 \times 29 \times 43 \]49880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 118800 |
| Euler totient φ(n) | 18816 |
| Square | 2488014400 |
| Cube | 124102158272000 |
| Square root | 223.338308 (= 2√12470) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.988 × |
49880 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and eighty |
| Binary (base 2) | 1100001011011000 |
| Octal (base 8) | 141330 |
| Hexadecimal (base 16) | C2D8 |
| Base 3 | 2112102102 |
| As time | 49880 seconds = 13 h 51 min 20 s |
Is 49880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49880 ÷ 2 = 24940) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49880 ÷ 4 = 12470) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49880 ÷ 5 = 9976) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (49880 ÷ 8 = 6235) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49880 ÷ 10 = 4988) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49880 a prime number?
No. 49880 = × 5 × 29 × 43, so it is divisible by 2.
What are the factors of 49880?
1, 2, 4, 5, 8, 10, 20, 29, 40, 43, 58, 86, 116, 145, 172, 215, 232, 290, 344, 430, 580, 860, 1160, 1247, 1720, 2494, 4988, 6235, 9976, 12470, 24940, 49880.
What is 49880 in binary?
1100001011011000 (hexadecimal C2D8, octal 141330).
What is the square root of 49880?
About 223.3383, exactly 2√12470.
Is 49880 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49880?
49880 is a Harshad number: divisible by its digit sum 29.