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3681225 = 325216361
BaseRepresentation
bin1110000010101111001001
320221000200200
432002233021
51420244400
6210522413
743201302
oct16025711
96830620
103681225
112094839
121296409
139bb752
146bb7a9
154cab00
hex382bc9

3681225 has 18 divisors (see below), whose sum is σ = 6593886. Its totient is φ = 1963200.

The previous prime is 3681217. The next prime is 3681239. The reversal of 3681225 is 5221863.

3681225 is digitally balanced in base 2, 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 3 ways, for example, as 131769 + 3549456 = 363^2 + 1884^2 .

It is not a de Polignac number, because 3681225 - 23 = 3681217 is a prime.

3681225 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7956 + ... + 8405.

It is an arithmetic number, because the mean of its divisors is an integer number (366327).

Almost surely, 23681225 is an apocalyptic number.

It is an amenable number.

3681225 is a deficient number, since it is larger than the sum of its proper divisors (2912661).

3681225 is a wasteful number, since it uses less digits than its factorization.

3681225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16377 (or 16369 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 3681225 is about 1918.6518704549. The cubic root of 3681225 is about 154.4059816962.

It can be divided in two parts, 36 and 81225, that multiplied together give a square (2924100 = 17102).

The spelling of 3681225 in words is "three million, six hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 16361 49083 81805 147249 245415 409025 736245 1227075 3681225