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The number 48850

48850 is a composite number with 12 divisors. Its prime factorisation is 2 × 525^{2} × 977. Divisors (12): 1, 2, 5, 10, 25, 50, 977, 1954, 4885, 9770, 24425, 48850.

Number

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How to work it out

  1. 1

    What is special about 48850: a Harshad number: divisible by its digit sum 25.

  2. 2

    48850 is composite. Its prime factorisation is

    48850=2×52×97748850 = 2 \times 5^{2} \times 977
  3. 3

    The divisors add up to 90954; without 48850 itself that is 42104, so 48850 is deficient (42104 is less than 48850). Euler's totient φ(48850) = 19520 numbers up to 48850 share no factor with it.

  4. 4

    The digits of 48850 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 202 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48850 = 2 \times 5^{2} \times 977 \]

48850 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors90954
Euler totient φ(n)19520
Square2386322500
Cube116571854125000
Square root221.020361 (= 5√1954)
Digit sum / digital root25 / 7
Collatz steps to 1202
Scientific notation4.885 × 10410^{4}

48850 in other forms

FormValue
In wordsforty-eight thousand eight hundred and fifty
Binary (base 2)1011111011010010
Octal (base 8)137322
Hexadecimal (base 16)BED2
Base 32111000021
As time48850 seconds = 13 h 34 min 10 s

Is 48850 divisible by 2 to 12?

DivisorAnswerRule
2Yes (48850 ÷ 2 = 24425)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.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (48850 ÷ 5 = 9770)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 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.
8No (remainder 2)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 (48850 ÷ 10 = 4885)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48850 a prime number?

No. 48850 = 2 × 525^{2} × 977, so it is divisible by 2.

What are the factors of 48850?

1, 2, 5, 10, 25, 50, 977, 1954, 4885, 9770, 24425, 48850.

What is 48850 in binary?

1011111011010010 (hexadecimal BED2, octal 137322).

What is the square root of 48850?

About 221.0204, exactly 5√1954.

Is 48850 divisible by 3?

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

What is special about the number 48850?

48850 is a Harshad number: divisible by its digit sum 25.

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    48850: is it prime? Factors, square root, binary, Roman numeral | WordGPT