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2608225 = 52172192
BaseRepresentation
bin1001111100110001100001
311220111210221
421330301201
51131430400
6131523041
731112104
oct11746141
94814727
102608225
111521664
12a59481
13704239
144bc73b
15367c1a
hex27cc61

2608225 has 27 divisors (see below), whose sum is σ = 3625977. Its totient is φ = 1860480.

The previous prime is 2608219. The next prime is 2608237. The reversal of 2608225 is 5228062.

The square root of 2608225 is 1615.

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

2608225 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 4 ways, for example, as 61009 + 2547216 = 247^2 + 1596^2 .

It is not a de Polignac number, because 2608225 - 27 = 2608097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 213 + 66 + 0 + 82 + 216 + 221 + 58 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2608225.

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 26 ways as a sum of consecutive naturals, for example, 137266 + ... + 137284.

22608225 is an apocalyptic number.

2608225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2608225 is the 1615-th square number.

2608225 is the 808-th centered octagonal number.

It is an amenable number.

2608225 is a deficient number, since it is larger than the sum of its proper divisors (1017752).

2608225 is a wasteful number, since it uses less digits than its factorization.

2608225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 2608225 is about 137.6517333248.

Multiplying 2608225 by its sum of digits (25), we get a square (65205625 = 80752).

2608225 divided by its sum of digits (25) gives a square (104329 = 3232).

The spelling of 2608225 in words is "two million, six hundred eight thousand, two hundred twenty-five".

Divisors: 1 5 17 19 25 85 95 289 323 361 425 475 1445 1615 1805 5491 6137 7225 8075 9025 27455 30685 104329 137275 153425 521645 2608225