The number 49410
49410 is a composite number with 40 divisors. Its prime factorisation is 2 × × 5 × 61. Divisors (40): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 61, 81, 90 … 49410.
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How to work it out
- 1
What is special about 49410: a Harshad number: divisible by its digit sum 18.
- 2
49410 is composite. Its prime factorisation is
- 3
The divisors add up to 135036; without 49410 itself that is 85626, so 49410 is abundant (85626 is more than 49410). Euler's totient φ(49410) = 12960 numbers up to 49410 share no factor with it.
- 4
The digits of 49410 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49410 = 2 \times 3^{4} \times 5 \times 61 \]49410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 135036 |
| Euler totient φ(n) | 12960 |
| Square | 2441348100 |
| Cube | 120627009621000 |
| Square root | 222.283603 (= 9√610) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.941 × |
49410 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and ten |
| Binary (base 2) | 1100000100000010 |
| Octal (base 8) | 140402 |
| Hexadecimal (base 16) | C102 |
| Base 3 | 2111210000 |
| As time | 49410 seconds = 13 h 43 min 30 s |
Is 49410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49410 ÷ 2 = 24705) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49410 ÷ 3 = 16470) | 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 (49410 ÷ 5 = 9882) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49410 ÷ 6 = 8235) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49410 ÷ 9 = 5490) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49410 ÷ 10 = 4941) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49410 a prime number?
No. 49410 = 2 × × 5 × 61, so it is divisible by 2.
What are the factors of 49410?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 61, 81, 90, 122, 135, 162, 183, 270, 305, 366, 405, 549, 610, 810, 915, 1098, 1647, 1830, 2745, 3294, 4941, 5490, 8235, 9882, 16470, 24705, 49410.
What is 49410 in binary?
1100000100000010 (hexadecimal C102, octal 140402).
What is the square root of 49410?
About 222.2836, exactly 9√610.
Is 49410 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 49410?
49410 is a Harshad number: divisible by its digit sum 18.