The number 48664
48664 is a composite number with 32 divisors. Its prime factorisation is × 7 × 11 × 79. Divisors (32): 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 79, 88, 154, 158 … 48664.
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How to work it out
- 1
What is special about 48664: a Harshad number: divisible by its digit sum 28.
- 2
48664 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 48664 itself that is 66536, so 48664 is abundant (66536 is more than 48664). Euler's totient φ(48664) = 18720 numbers up to 48664 share no factor with it.
- 4
The digits of 48664 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48664 = 2^{3} \times 7 \times 11 \times 79 \]48664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 18720 |
| Square | 2368184896 |
| Cube | 115245349778944 |
| Square root | 220.599184 (= 2√12166) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8664 × |
48664 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and sixty-four |
| Binary (base 2) | 1011111000011000 |
| Octal (base 8) | 137030 |
| Hexadecimal (base 16) | BE18 |
| Base 3 | 2110202101 |
| As time | 48664 seconds = 13 h 31 min 4 s |
Is 48664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48664 ÷ 2 = 24332) | 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 (48664 ÷ 4 = 12166) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (48664 ÷ 7 = 6952) | 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 (48664 ÷ 8 = 6083) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48664 ÷ 11 = 4424) | 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 48664 a prime number?
No. 48664 = × 7 × 11 × 79, so it is divisible by 2.
What are the factors of 48664?
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 79, 88, 154, 158, 308, 316, 553, 616, 632, 869, 1106, 1738, 2212, 3476, 4424, 6083, 6952, 12166, 24332, 48664.
What is 48664 in binary?
1011111000011000 (hexadecimal BE18, octal 137030).
What is the square root of 48664?
About 220.5992, exactly 2√12166.
Is 48664 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48664?
48664 is a Harshad number: divisible by its digit sum 28.