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The number 48940

48940 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 5 × 2447. Divisors (12): 1, 2, 4, 5, 10, 20, 2447, 4894, 9788, 12235, 24470, 48940.

Number

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How to work it out

  1. 1

    48940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    48940 is composite. Its prime factorisation is

    48940=22×5×244748940 = 2^{2} \times 5 \times 2447
  3. 3

    The divisors add up to 102816; without 48940 itself that is 53876, so 48940 is abundant (53876 is more than 48940). Euler's totient φ(48940) = 19568 numbers up to 48940 share no factor with it.

  4. 4

    The digits of 48940 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48940 = 2^{2} \times 5 \times 2447 \]

48940 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors102816
Euler totient φ(n)19568
Square2395123600
Cube117217348984000
Square root221.223869 (= 2√12235)
Digit sum / digital root25 / 7
Collatz steps to 1114
Scientific notation4.894 × 10410^{4}

48940 in other forms

FormValue
In wordsforty-eight thousand nine hundred and forty
Binary (base 2)1011111100101100
Octal (base 8)137454
Hexadecimal (base 16)BF2C
Base 32111010121
As time48940 seconds = 13 h 35 min 40 s

Is 48940 divisible by 2 to 12?

DivisorAnswerRule
2Yes (48940 ÷ 2 = 24470)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (48940 ÷ 4 = 12235)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (48940 ÷ 5 = 9788)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (48940 ÷ 10 = 4894)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48940 a prime number?

No. 48940 = 222^{2} × 5 × 2447, so it is divisible by 2.

What are the factors of 48940?

1, 2, 4, 5, 10, 20, 2447, 4894, 9788, 12235, 24470, 48940.

What is 48940 in binary?

1011111100101100 (hexadecimal BF2C, octal 137454).

What is the square root of 48940?

About 221.2239, exactly 2√12235.

Is 48940 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 48940?

It is a composite number with 12 divisors.

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    48940: is it prime? Factors, square root, binary, Roman numeral | WordGPT