The number 48438
48438 is a composite number with 40 divisors. Its prime factorisation is 2 × × 13 × 23. Divisors (40): 1, 2, 3, 6, 9, 13, 18, 23, 26, 27, 39, 46, 54, 69, 78, 81 … 48438.
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How to work it out
- 1
What is special about 48438: a Harshad number: divisible by its digit sum 27.
- 2
48438 is composite. Its prime factorisation is
- 3
The divisors add up to 121968; without 48438 itself that is 73530, so 48438 is abundant (73530 is more than 48438). Euler's totient φ(48438) = 14256 numbers up to 48438 share no factor with it.
- 4
The digits of 48438 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48438 = 2 \times 3^{4} \times 13 \times 23 \]48438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 121968 |
| Euler totient φ(n) | 14256 |
| Square | 2346239844 |
| Cube | 113647165563672 |
| Square root | 220.086347 (= 9√598) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.8438 × |
48438 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and thirty-eight |
| Binary (base 2) | 1011110100110110 |
| Octal (base 8) | 136466 |
| Hexadecimal (base 16) | BD36 |
| Base 3 | 2110110000 |
| As time | 48438 seconds = 13 h 27 min 18 s |
Is 48438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48438 ÷ 2 = 24219) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48438 ÷ 3 = 16146) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48438 ÷ 6 = 8073) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48438 ÷ 9 = 5382) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 48438 a prime number?
No. 48438 = 2 × × 13 × 23, so it is divisible by 2.
What are the factors of 48438?
1, 2, 3, 6, 9, 13, 18, 23, 26, 27, 39, 46, 54, 69, 78, 81, 117, 138, 162, 207, 234, 299, 351, 414, 598, 621, 702, 897, 1053, 1242, 1794, 1863, 2106, 2691, 3726, 5382, 8073, 16146, 24219, 48438.
What is 48438 in binary?
1011110100110110 (hexadecimal BD36, octal 136466).
What is the square root of 48438?
About 220.0863, exactly 9√598.
Is 48438 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48438?
48438 is a Harshad number: divisible by its digit sum 27.