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4283305 = 513237137
BaseRepresentation
bin10000010101101110101001
322001121120221
4100111232221
52044031210
6231450041
751256525
oct20255651
98047527
104283305
112466124
121526921
13b6c800
147d6d85
155991da
hex415ba9

4283305 has 24 divisors (see below), whose sum is σ = 5757912. Its totient is φ = 3055104.

The previous prime is 4283299. The next prime is 4283333. The reversal of 4283305 is 5033824.

It can be written as a sum of positive squares in 12 ways, for example, as 1297321 + 2985984 = 1139^2 + 1728^2 .

It is not a de Polignac number, because 4283305 - 23 = 4283297 is a prime.

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 4283305.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 31197 + ... + 31333.

It is an arithmetic number, because the mean of its divisors is an integer number (239913).

Almost surely, 24283305 is an apocalyptic number.

4283305 is the 1690-th pentagonal number.

It is an amenable number.

4283305 is a deficient number, since it is larger than the sum of its proper divisors (1474607).

4283305 is a wasteful number, since it uses less digits than its factorization.

4283305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4283305 is about 2069.6146984403. The cubic root of 4283305 is about 162.4026083082.

The spelling of 4283305 in words is "four million, two hundred eighty-three thousand, three hundred five".

Divisors: 1 5 13 37 65 137 169 185 481 685 845 1781 2405 5069 6253 8905 23153 25345 31265 65897 115765 329485 856661 4283305