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The number 50432

50432 is a composite number with 18 divisors. Its prime factorisation is 282^{8} × 197. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 197, 256, 394, 788, 1576, 3152, 6304, 12608 … 50432.

Number

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How to work it out

  1. 1

    50432 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

    50432 is composite. Its prime factorisation is

    50432=28×19750432 = 2^{8} \times 197
  3. 3

    The divisors add up to 101178; without 50432 itself that is 50746, so 50432 is abundant (50746 is more than 50432). Euler's totient φ(50432) = 25088 numbers up to 50432 share no factor with it.

  4. 4

    The digits of 50432 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50432 = 2^{8} \times 197 \]

50432 at a glance

PropertyValue
Typecomposite
Number of divisors18
Sum of divisors101178
Euler totient φ(n)25088
Square2543386624
Cube128268074221568
Square root224.570702 (= 16√197)
Digit sum / digital root14 / 5
Collatz steps to 134
Scientific notation5.0432 × 10410^{4}

50432 in other forms

FormValue
In wordsfifty thousand four hundred and thirty-two
Binary (base 2)1100010100000000
Octal (base 8)142400
Hexadecimal (base 16)C500
Base 32120011212
As time50432 seconds = 14 h 0 min 32 s

Is 50432 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50432 ÷ 2 = 25216)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (50432 ÷ 4 = 12608)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8Yes (50432 ÷ 8 = 6304)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50432 a prime number?

No. 50432 = 282^{8} × 197, so it is divisible by 2.

What are the factors of 50432?

1, 2, 4, 8, 16, 32, 64, 128, 197, 256, 394, 788, 1576, 3152, 6304, 12608, 25216, 50432.

What is 50432 in binary?

1100010100000000 (hexadecimal C500, octal 142400).

What is the square root of 50432?

About 224.5707, exactly 16√197.

Is 50432 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 50432?

It is a composite number with 18 divisors.

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    50432: is it prime? Factors, square root, binary, Roman numeral | WordGPT