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4305625 = 54832
BaseRepresentation
bin10000011011001011011001
322002202012121
4100123023121
52100240000
6232141241
751411562
oct20331331
98082177
104305625
112480975
121537821
13b79a0c
14801169
155a0b1a
hex41b2d9

4305625 has 15 divisors (see below), whose sum is σ = 5445913. Its totient is φ = 3403000.

The previous prime is 4305619. The next prime is 4305629. The reversal of 4305625 is 5265034.

The square root of 4305625 is 2075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 337561 + 3968064 = 581^2 + 1992^2 .

It is not a de Polignac number, because 4305625 - 25 = 4305593 is a prime.

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

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 4305625.

It is not an unprimeable number, because it can be changed into a prime (4305629) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 51834 + ... + 51916.

Almost surely, 24305625 is an apocalyptic number.

4305625 is the 2075-th square number.

4305625 is the 1038-th centered octagonal number.

It is an amenable number.

4305625 is a deficient number, since it is larger than the sum of its proper divisors (1140288).

4305625 is an frugal number, since it uses more digits than its factorization.

4305625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The cubic root of 4305625 is about 162.6842092483.

Multiplying 4305625 by its sum of digits (25), we get a square (107640625 = 103752).

4305625 divided by its sum of digits (25) gives a square (172225 = 4152).

Multiplying 4305625 by its product of nonzero digits (3600), we get a square (15500250000 = 1245002).

The spelling of 4305625 in words is "four million, three hundred five thousand, six hundred twenty-five".

Divisors: 1 5 25 83 125 415 625 2075 6889 10375 34445 51875 172225 861125 4305625