Search a number
-
+
8048225 = 521729653
BaseRepresentation
bin11110101100111001100001
3120010220002102
4132230321201
54030020400
6444300145
7125260133
oct36547141
916126072
108048225
1145a7829
122841655
13188a383
1410d7053
15a8e9d5
hex7ace61

8048225 has 24 divisors (see below), whose sum is σ = 10947960. Its totient is φ = 5841920.

The previous prime is 8048207. The next prime is 8048269. The reversal of 8048225 is 5228408.

It can be written as a sum of positive squares in 12 ways, for example, as 1957201 + 6091024 = 1399^2 + 2468^2 .

It is not a de Polignac number, because 8048225 - 28 = 8047969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11999 + ... + 12651.

It is an arithmetic number, because the mean of its divisors is an integer number (456165).

Almost surely, 28048225 is an apocalyptic number.

8048225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8048225 is a deficient number, since it is larger than the sum of its proper divisors (2899735).

8048225 is a wasteful number, since it uses less digits than its factorization.

8048225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 8048225 is about 2836.9393719288. The cubic root of 8048225 is about 200.4010701759.

The spelling of 8048225 in words is "eight million, forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 17 25 29 85 145 425 493 653 725 2465 3265 11101 12325 16325 18937 55505 94685 277525 321929 473425 1609645 8048225