The number 48412
48412 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 19. Divisors (36): 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 49, 52, 76, 91, 98, 133 … 48412.
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How to work it out
- 1
What is special about 48412: a Harshad number: divisible by its digit sum 19.
- 2
48412 is composite. Its prime factorisation is
- 3
The divisors add up to 111720; without 48412 itself that is 63308, so 48412 is abundant (63308 is more than 48412). Euler's totient φ(48412) = 18144 numbers up to 48412 share no factor with it.
- 4
The digits of 48412 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48412 = 2^{2} \times 7^{2} \times 13 \times 19 \]48412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 111720 |
| Euler totient φ(n) | 18144 |
| Square | 2343721744 |
| Cube | 113464257070528 |
| Square root | 220.027271 (= 14√247) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8412 × |
48412 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and twelve |
| Binary (base 2) | 1011110100011100 |
| Octal (base 8) | 136434 |
| Hexadecimal (base 16) | BD1C |
| Base 3 | 2110102001 |
| As time | 48412 seconds = 13 h 26 min 52 s |
Is 48412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48412 ÷ 2 = 24206) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48412 ÷ 4 = 12103) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48412 ÷ 7 = 6916) | 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 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48412 a prime number?
No. 48412 = × × 13 × 19, so it is divisible by 2.
What are the factors of 48412?
1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 49, 52, 76, 91, 98, 133, 182, 196, 247, 266, 364, 494, 532, 637, 931, 988, 1274, 1729, 1862, 2548, 3458, 3724, 6916, 12103, 24206, 48412.
What is 48412 in binary?
1011110100011100 (hexadecimal BD1C, octal 136434).
What is the square root of 48412?
About 220.0273, exactly 14√247.
Is 48412 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 48412?
48412 is a Harshad number: divisible by its digit sum 19.