The number 49212
49212 is a composite number with 18 divisors. Its prime factorisation is × × 1367. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1367, 2734, 4101, 5468, 8202, 12303, 16404 … 49212.
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How to work it out
- 1
What is special about 49212: a Harshad number: divisible by its digit sum 18.
- 2
49212 is composite. Its prime factorisation is
- 3
The divisors add up to 124488; without 49212 itself that is 75276, so 49212 is abundant (75276 is more than 49212). Euler's totient φ(49212) = 16392 numbers up to 49212 share no factor with it.
- 4
The digits of 49212 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49212 = 2^{2} \times 3^{2} \times 1367 \]49212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 124488 |
| Euler totient φ(n) | 16392 |
| Square | 2421820944 |
| Cube | 119182652296128 |
| Square root | 221.837779 (= 6√1367) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9212 × |
49212 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and twelve |
| Binary (base 2) | 1100000000111100 |
| Octal (base 8) | 140074 |
| Hexadecimal (base 16) | C03C |
| Base 3 | 2111111200 |
| As time | 49212 seconds = 13 h 40 min 12 s |
Is 49212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49212 ÷ 2 = 24606) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49212 ÷ 3 = 16404) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49212 ÷ 4 = 12303) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49212 ÷ 6 = 8202) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49212 ÷ 9 = 5468) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (49212 ÷ 12 = 4101) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49212 a prime number?
No. 49212 = × × 1367, so it is divisible by 2.
What are the factors of 49212?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1367, 2734, 4101, 5468, 8202, 12303, 16404, 24606, 49212.
What is 49212 in binary?
1100000000111100 (hexadecimal C03C, octal 140074).
What is the square root of 49212?
About 221.8378, exactly 6√1367.
Is 49212 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 49212?
49212 is a Harshad number: divisible by its digit sum 18.