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The number 50468

50468 is a composite number with 24 divisors. Its prime factorisation is 222^{2} × 11 × 31 × 37. Divisors (24): 1, 2, 4, 11, 22, 31, 37, 44, 62, 74, 124, 148, 341, 407, 682, 814 … 50468.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    50468 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

    50468 is composite. Its prime factorisation is

    50468=22×11×31×3750468 = 2^{2} \times 11 \times 31 \times 37
  3. 3

    The divisors add up to 102144; without 50468 itself that is 51676, so 50468 is abundant (51676 is more than 50468). Euler's totient φ(50468) = 21600 numbers up to 50468 share no factor with it.

  4. 4

    The digits of 50468 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50468 = 2^{2} \times 11 \times 31 \times 37 \]

50468 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors102144
Euler totient φ(n)21600
Square2547019024
Cube128542956103232
Square root224.650840 (= 2√12617)
Digit sum / digital root23 / 5
Collatz steps to 165
Scientific notation5.0468 × 10410^{4}

50468 in other forms

FormValue
In wordsfifty thousand four hundred and sixty-eight
Binary (base 2)1100010100100100
Octal (base 8)142444
Hexadecimal (base 16)C524
Base 32120020012
As time50468 seconds = 14 h 1 min 8 s

Is 50468 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50468 ÷ 2 = 25234)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 (50468 ÷ 4 = 12617)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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 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.
8No (remainder 4)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 8)A number is divisible by 10 if the last digit is 0.
11Yes (50468 ÷ 11 = 4588)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 50468 a prime number?

No. 50468 = 222^{2} × 11 × 31 × 37, so it is divisible by 2.

What are the factors of 50468?

1, 2, 4, 11, 22, 31, 37, 44, 62, 74, 124, 148, 341, 407, 682, 814, 1147, 1364, 1628, 2294, 4588, 12617, 25234, 50468.

What is 50468 in binary?

1100010100100100 (hexadecimal C524, octal 142444).

What is the square root of 50468?

About 224.6508, exactly 2√12617.

Is 50468 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 50468?

It is a composite number with 24 divisors.

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    50468: is it prime? Factors, square root, binary, Roman numeral | WordGPT