The number 49872
49872 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1039. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1039, 2078, 3117, 4156, 6234, 8312 … 49872.
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How to work it out
- 1
49872 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49872 is composite. Its prime factorisation is
- 3
The divisors add up to 128960; without 49872 itself that is 79088, so 49872 is abundant (79088 is more than 49872). Euler's totient φ(49872) = 16608 numbers up to 49872 share no factor with it.
- 4
The digits of 49872 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49872 = 2^{4} \times 3 \times 1039 \]49872 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 128960 |
| Euler totient φ(n) | 16608 |
| Square | 2487216384 |
| Cube | 124042455502848 |
| Square root | 223.320398 (= 4√3117) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9872 × |
49872 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and seventy-two |
| Binary (base 2) | 1100001011010000 |
| Octal (base 8) | 141320 |
| Hexadecimal (base 16) | C2D0 |
| Base 3 | 2112102010 |
| As time | 49872 seconds = 13 h 51 min 12 s |
Is 49872 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49872 ÷ 2 = 24936) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49872 ÷ 3 = 16624) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49872 ÷ 4 = 12468) | 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 (49872 ÷ 6 = 8312) | 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 | Yes (49872 ÷ 8 = 6234) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (49872 ÷ 12 = 4156) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49872 a prime number?
No. 49872 = × 3 × 1039, so it is divisible by 2.
What are the factors of 49872?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1039, 2078, 3117, 4156, 6234, 8312, 12468, 16624, 24936, 49872.
What is 49872 in binary?
1100001011010000 (hexadecimal C2D0, octal 141320).
What is the square root of 49872?
About 223.3204, exactly 4√3117.
Is 49872 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49872?
It is a composite number with 20 divisors.