25066400 (number)

25,066,400 (twenty-five million sixty-six thousand four hundred) is an even eight-digits composite number following 25066399 and preceding 25066401. In scientific notation, it is written as 2.50664 × 107. The sum of its digits is 23. It has a total of 8 prime factors and 36 positive divisors. There are 10,026,240 positive integers (up to 25066400) that are relatively prime to 25066400.

Basic properties

• Is Prime? No
• Number parity Even
• Number length 8
• Sum of Digits 23
• Digital Root 5

Name

Short name 25 million 66 thousand 400 twenty-five million sixty-six thousand four hundred

Notation

Scientific notation 2.50664 × 107 25.0664 × 106

Prime Factorization of 25066400

Prime Factorization 25 × 52 × 31333

Composite number
Distinct Factors Total Factors Radical ω(n) 3 Total number of distinct prime factors Ω(n) 8 Total number of prime factors rad(n) 313330 Product of the distinct prime numbers λ(n) 1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 25,066,400 is 25 × 52 × 31333. Since it has a total of 8 prime factors, 25,066,400 is a composite number.

Divisors of 25066400

36 divisors

 Even divisors 30 6 6 0
Total Divisors Sum of Divisors Aliquot Sum τ(n) 36 Total number of the positive divisors of n σ(n) 6.11953e+07 Sum of all the positive divisors of n s(n) 3.61289e+07 Sum of the proper positive divisors of n A(n) 1.69987e+06 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 5006.64 Returns the nth root of the product of n divisors H(n) 14.7461 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 25,066,400 can be divided by 36 positive divisors (out of which 30 are even, and 6 are odd). The sum of these divisors (counting 25,066,400) is 61,195,302, the average is 169,986,9.5.

Other Arithmetic Functions (n = 25066400)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 10026240 Total number of positive integers not greater than n that are coprime to n λ(n) 626640 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 1567382 Total number of primes less than or equal to n r2(n) 24 The number of ways n can be represented as the sum of 2 squares

There are 10,026,240 positive integers (less than 25,066,400) that are coprime with 25,066,400. And there are approximately 1,567,382 prime numbers less than or equal to 25,066,400.

Divisibility of 25066400

 m n mod m 2 3 4 5 6 7 8 9 0 2 0 0 2 2 0 5

The number 25,066,400 is divisible by 2, 4, 5 and 8.

• Abundant

• Polite

• Frugal

Base conversion (25066400)

Base System Value
2 Binary 1011111100111101110100000
3 Ternary 1202011111122012
4 Quaternary 1133213232200
5 Quinary 22404111100
6 Senary 2253132052
8 Octal 137475640
10 Decimal 25066400
12 Duodecimal 848a028
20 Vigesimal 7gd600
36 Base36 ex9cw

Basic calculations (n = 25066400)

Multiplication

n×y
 n×2 50132800 75199200 100265600 125332000

Division

n÷y
 n÷2 1.25332e+07 8.35547e+06 6.2666e+06 5.01328e+06

Exponentiation

ny
 n2 628324408960000 15749830964754944000000 394791562894933328281600000000 9896003232149556780037898240000000000

Nth Root

y√n
 2√n 5006.64 292.66 70.7576 30.1869

25066400 as geometric shapes

Circle

 Diameter 5.01328e+07 1.57497e+08 1.97394e+15

Sphere

 Volume 6.59727e+22 7.89576e+15 1.57497e+08

Square

Length = n
 Perimeter 1.00266e+08 6.28324e+14 3.54492e+07

Cube

Length = n
 Surface area 3.76995e+15 1.57498e+22 4.34163e+07

Equilateral Triangle

Length = n
 Perimeter 7.51992e+07 2.72072e+14 2.17081e+07

Triangular Pyramid

Length = n
 Surface area 1.08829e+15 1.85614e+21 2.04666e+07
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