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The number 50840

50840 is a composite number with 32 divisors. Its prime factorisation is 232^{3} × 5 × 31 × 41. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 31, 40, 41, 62, 82, 124, 155, 164, 205 … 50840.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    50840 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

    50840 is composite. Its prime factorisation is

    50840=23×5×31×4150840 = 2^{3} \times 5 \times 31 \times 41
  3. 3

    The divisors add up to 120960; without 50840 itself that is 70120, so 50840 is abundant (70120 is more than 50840). Euler's totient φ(50840) = 19200 numbers up to 50840 share no factor with it.

  4. 4

    The digits of 50840 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50840 = 2^{3} \times 5 \times 31 \times 41 \]

50840 at a glance

PropertyValue
Typecomposite
Number of divisors32
Sum of divisors120960
Euler totient φ(n)19200
Square2584705600
Cube131406432704000
Square root225.477272 (= 2√12710)
Digit sum / digital root17 / 8
Collatz steps to 157
Scientific notation5.084 × 10410^{4}

50840 in other forms

FormValue
In wordsfifty thousand eight hundred and forty
Binary (base 2)1100011010011000
Octal (base 8)143230
Hexadecimal (base 16)C698
Base 32120201222
As time50840 seconds = 14 h 7 min 20 s

Is 50840 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50840 ÷ 2 = 25420)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 (50840 ÷ 4 = 12710)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (50840 ÷ 5 = 10168)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 6)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 (50840 ÷ 8 = 6355)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (50840 ÷ 10 = 5084)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 50840 a prime number?

No. 50840 = 232^{3} × 5 × 31 × 41, so it is divisible by 2.

What are the factors of 50840?

1, 2, 4, 5, 8, 10, 20, 31, 40, 41, 62, 82, 124, 155, 164, 205, 248, 310, 328, 410, 620, 820, 1240, 1271, 1640, 2542, 5084, 6355, 10168, 12710, 25420, 50840.

What is 50840 in binary?

1100011010011000 (hexadecimal C698, octal 143230).

What is the square root of 50840?

About 225.4773, exactly 2√12710.

Is 50840 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 50840?

It is a composite number with 32 divisors.

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