The number 49840
49840 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 89. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80 … 49840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49840 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 49840 itself that is 84080, so 49840 is abundant (84080 is more than 49840). Euler's totient φ(49840) = 16896 numbers up to 49840 share no factor with it.
- 4
The digits of 49840 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49840 = 2^{4} \times 5 \times 7 \times 89 \]49840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 16896 |
| Square | 2484025600 |
| Cube | 123803835904000 |
| Square root | 223.248740 (= 4√3115) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.984 × |
49840 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and forty |
| Binary (base 2) | 1100001010110000 |
| Octal (base 8) | 141260 |
| Hexadecimal (base 16) | C2B0 |
| Base 3 | 2112100221 |
| As time | 49840 seconds = 13 h 50 min 40 s |
Is 49840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49840 ÷ 2 = 24920) | 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 (49840 ÷ 4 = 12460) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49840 ÷ 5 = 9968) | 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 | Yes (49840 ÷ 7 = 7120) | 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 (49840 ÷ 8 = 6230) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49840 ÷ 10 = 4984) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49840 a prime number?
No. 49840 = × 5 × 7 × 89, so it is divisible by 2.
What are the factors of 49840?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 89, 112, 140, 178, 280, 356, 445, 560, 623, 712, 890, 1246, 1424, 1780, 2492, 3115, 3560, 4984, 6230, 7120, 9968, 12460, 24920, 49840.
What is 49840 in binary?
1100001010110000 (hexadecimal C2B0, octal 141260).
What is the square root of 49840?
About 223.2487, exactly 4√3115.
Is 49840 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 49840?
It is a composite number with 40 divisors.