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The number 49525

49525 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 7 × 283. Divisors (12): 1, 5, 7, 25, 35, 175, 283, 1415, 1981, 7075, 9905, 49525.

Number

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How to work it out

  1. 1

    What is special about 49525: a Harshad number: divisible by its digit sum 25.

  2. 2

    49525 is composite. Its prime factorisation is

    49525=52×7×28349525 = 5^{2} \times 7 \times 283
  3. 3

    The divisors add up to 70432; without 49525 itself that is 20907, so 49525 is deficient (20907 is less than 49525). Euler's totient φ(49525) = 33840 numbers up to 49525 share no factor with it.

  4. 4

    The digits of 49525 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 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49525 = 5^{2} \times 7 \times 283 \]

49525 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors70432
Euler totient φ(n)33840
Square2452725625
Cube121471236578125
Square root222.542131 (= 5√1981)
Digit sum / digital root25 / 7
Collatz steps to 139
Scientific notation4.9525 × 10410^{4}

49525 in other forms

FormValue
In wordsforty-nine thousand five hundred and twenty-five
Binary (base 2)1100000101110101
Octal (base 8)140565
Hexadecimal (base 16)C175
Base 32111221021
As time49525 seconds = 13 h 45 min 25 s

Is 49525 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (49525 ÷ 5 = 9905)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (49525 ÷ 7 = 7075)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 5)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49525 a prime number?

No. 49525 = 525^{2} × 7 × 283, so it is divisible by 5.

What are the factors of 49525?

1, 5, 7, 25, 35, 175, 283, 1415, 1981, 7075, 9905, 49525.

What is 49525 in binary?

1100000101110101 (hexadecimal C175, octal 140565).

What is the square root of 49525?

About 222.5421, exactly 5√1981.

Is 49525 divisible by 3?

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

What is special about the number 49525?

49525 is a Harshad number: divisible by its digit sum 25.

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    49525: is it prime? Factors, square root, binary, Roman numeral | WordGPT