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8448367225 = 523125932
BaseRepresentation
bin1111101111000111…
…11101101001111001
3210210210002112002211
413313203331221321
5114300240222400
63514153455121
7416233636144
oct76743755171
923723075084
108448367225
113645979381
1217794114a1
13a483ba87c
145a205d05b
15346a64dba
hex1f78fda79

8448367225 has 27 divisors (see below), whose sum is σ = 10843096269. Its totient is φ = 6529641600.

The previous prime is 8448367223. The next prime is 8448367229. The reversal of 8448367225 is 5227638448.

The square root of 8448367225 is 91915.

It is a perfect power (a square), and thus also a powerful number.

8448367225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5697769 + 8442669456 = 2387^2 + 91884^2 .

It is not a de Polignac number, because 8448367225 - 21 = 8448367223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8448367223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14246529 + ... + 14247121.

Almost surely, 28448367225 is an apocalyptic number.

8448367225 is the 91915-th square number.

8448367225 is the 45958-th centered octagonal number.

It is an amenable number.

8448367225 is a deficient number, since it is larger than the sum of its proper divisors (2394729044).

8448367225 is an frugal number, since it uses more digits than its factorization.

8448367225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 629 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 49.

The cubic root of 8448367225 is about 2036.6868578329.

Multiplying 8448367225 by its sum of digits (49), we get a square (413969994025 = 6434052).

The spelling of 8448367225 in words is "eight billion, four hundred forty-eight million, three hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 31 155 593 775 961 2965 4805 14825 18383 24025 91915 351649 459575 569873 1758245 2849365 8791225 10901119 14246825 54505595 272527975 337934689 1689673445 8448367225