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The number 48625

48625 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 389. Divisors (8): 1, 5, 25, 125, 389, 1945, 9725, 48625.

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How to work it out

  1. 1

    What is special about 48625: a Harshad number: divisible by its digit sum 25.

  2. 2

    48625 is composite. Its prime factorisation is

    48625=53Ɨ38948625 = 5^{3} \times 389
  3. 3

    The divisors add up to 60840; without 48625 itself that is 12215, so 48625 is deficient (12215 is less than 48625). Euler's totient φ(48625) = 38800 numbers up to 48625 share no factor with it.

  4. 4

    The digits of 48625 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 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48625 = 5^{3} \times 389 \]

48625 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors60840
Euler totient φ(n)38800
Square2364390625
Cube114968494140625
Square root220.510771 (= 5√1945)
Digit sum / digital root25 / 7
Collatz steps to 1158
Scientific notation4.8625 Ɨ 10410^{4}

48625 in other forms

FormValue
In wordsforty-eight thousand six hundred and twenty-five
Binary (base 2)1011110111110001
Octal (base 8)136761
Hexadecimal (base 16)BDF1
Base 32110200221
As time48625 seconds = 13 h 30 min 25 s

Is 48625 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 (48625 Ć· 5 = 9725)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.
7No (remainder 3)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 1)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 5)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 48625 a prime number?

No. 48625 = 535^{3} Ɨ 389, so it is divisible by 5.

What are the factors of 48625?

1, 5, 25, 125, 389, 1945, 9725, 48625.

What is 48625 in binary?

1011110111110001 (hexadecimal BDF1, octal 136761).

What is the square root of 48625?

About 220.5108, exactly 5√1945.

Is 48625 divisible by 3?

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

What is special about the number 48625?

48625 is a Harshad number: divisible by its digit sum 25.

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    48625: is it prime? Factors, square root, binary, Roman numeral | WordGPT