The number 49272
49272 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2053. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2053, 4106, 6159, 8212, 12318, 16424, 24636, 49272.
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How to work it out
- 1
What is special about 49272: a Harshad number: divisible by its digit sum 24.
- 2
49272 is composite. Its prime factorisation is
- 3
The divisors add up to 123240; without 49272 itself that is 73968, so 49272 is abundant (73968 is more than 49272). Euler's totient φ(49272) = 16416 numbers up to 49272 share no factor with it.
- 4
The digits of 49272 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49272 = 2^{3} \times 3 \times 2053 \]49272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123240 |
| Euler totient φ(n) | 16416 |
| Square | 2427729984 |
| Cube | 119619111771648 |
| Square root | 221.972971 (= 2√12318) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9272 × |
49272 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and seventy-two |
| Binary (base 2) | 1100000001111000 |
| Octal (base 8) | 140170 |
| Hexadecimal (base 16) | C078 |
| Base 3 | 2111120220 |
| As time | 49272 seconds = 13 h 41 min 12 s |
Is 49272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49272 ÷ 2 = 24636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49272 ÷ 3 = 16424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49272 ÷ 4 = 12318) | 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 (49272 ÷ 6 = 8212) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (49272 ÷ 8 = 6159) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49272 ÷ 12 = 4106) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49272 a prime number?
No. 49272 = × 3 × 2053, so it is divisible by 2.
What are the factors of 49272?
1, 2, 3, 4, 6, 8, 12, 24, 2053, 4106, 6159, 8212, 12318, 16424, 24636, 49272.
What is 49272 in binary?
1100000001111000 (hexadecimal C078, octal 140170).
What is the square root of 49272?
About 221.9730, exactly 2√12318.
Is 49272 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49272?
49272 is a Harshad number: divisible by its digit sum 24.