The number 49910
49910 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 23 × 31. Divisors (32): 1, 2, 5, 7, 10, 14, 23, 31, 35, 46, 62, 70, 115, 155, 161, 217 … 49910.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49910: a Harshad number: divisible by its digit sum 23.
- 2
49910 is composite. Its prime factorisation is
- 3
The divisors add up to 110592; without 49910 itself that is 60682, so 49910 is abundant (60682 is more than 49910). Euler's totient φ(49910) = 15840 numbers up to 49910 share no factor with it.
- 4
The digits of 49910 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49910 = 2 \times 5 \times 7 \times 23 \times 31 \]
49910 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 110592 |
| Euler totient φ(n) | 15840 |
| Square | 2491008100 |
| Cube | 124326214271000 |
| Square root | 223.405461 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.991 × |
49910 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and ten |
| Binary (base 2) | 1100001011110110 |
| Octal (base 8) | 141366 |
| Hexadecimal (base 16) | C2F6 |
| Base 3 | 2112110112 |
| As time | 49910 seconds = 13 h 51 min 50 s |
Is 49910 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49910 ÷ 2 = 24955) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49910 ÷ 5 = 9982) | 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 | Yes (49910 ÷ 7 = 7130) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49910 ÷ 10 = 4991) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49910 a prime number?
No. 49910 = 2 × 5 × 7 × 23 × 31, so it is divisible by 2.
What are the factors of 49910?
1, 2, 5, 7, 10, 14, 23, 31, 35, 46, 62, 70, 115, 155, 161, 217, 230, 310, 322, 434, 713, 805, 1085, 1426, 1610, 2170, 3565, 4991, 7130, 9982, 24955, 49910.
What is 49910 in binary?
1100001011110110 (hexadecimal C2F6, octal 141366).
What is the square root of 49910?
About 223.4055.
Is 49910 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 49910?
49910 is a Harshad number: divisible by its digit sum 23.