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The number 49552

49552 is a composite number with 20 divisors. Its prime factorisation is 242^{4} × 19 × 163. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 152, 163, 304, 326, 652, 1304, 2608, 3097 … 49552.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    49552 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

    49552 is composite. Its prime factorisation is

    49552=24×19×16349552 = 2^{4} \times 19 \times 163
  3. 3

    The divisors add up to 101680; without 49552 itself that is 52128, so 49552 is abundant (52128 is more than 49552). Euler's totient φ(49552) = 23328 numbers up to 49552 share no factor with it.

  4. 4

    The digits of 49552 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 189 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49552 = 2^{4} \times 19 \times 163 \]

49552 at a glance

PropertyValue
Typecomposite
Number of divisors20
Sum of divisors101680
Euler totient φ(n)23328
Square2455400704
Cube121670015684608
Square root222.602785 (= 4√3097)
Digit sum / digital root25 / 7
Collatz steps to 1189
Scientific notation4.9552 × 10410^{4}

49552 in other forms

FormValue
In wordsforty-nine thousand five hundred and fifty-two
Binary (base 2)1100000110010000
Octal (base 8)140620
Hexadecimal (base 16)C190
Base 32111222021
As time49552 seconds = 13 h 45 min 52 s

Is 49552 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49552 ÷ 2 = 24776)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 (49552 ÷ 4 = 12388)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 4)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 (49552 ÷ 8 = 6194)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.
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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49552 a prime number?

No. 49552 = 242^{4} × 19 × 163, so it is divisible by 2.

What are the factors of 49552?

1, 2, 4, 8, 16, 19, 38, 76, 152, 163, 304, 326, 652, 1304, 2608, 3097, 6194, 12388, 24776, 49552.

What is 49552 in binary?

1100000110010000 (hexadecimal C190, octal 140620).

What is the square root of 49552?

About 222.6028, exactly 4√3097.

Is 49552 divisible by 3?

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

What is special about the number 49552?

It is a composite number with 20 divisors.

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    49552: is it prime? Factors, square root, binary, Roman numeral | WordGPT