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4768065 = 34561193
BaseRepresentation
bin10010001100000101000001
322222020120000
4102030011001
52210034230
6250110213
755346031
oct22140501
98866500
104768065
112767355
12171b369
13cac353
148c18c1
15642b60
hex48c141

4768065 has 40 divisors (see below), whose sum is σ = 8732328. Its totient is φ = 2488320.

The previous prime is 4768063. The next prime is 4768067. The reversal of 4768065 is 5608674.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4768063) and next prime (4768067).

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 4704561 = 252^2 + 2169^2 .

It is not a de Polignac number, because 4768065 - 21 = 4768063 is a prime.

4768065 is a lucky number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4768063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24609 + ... + 24801.

Almost surely, 24768065 is an apocalyptic number.

4768065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4768065 is a deficient number, since it is larger than the sum of its proper divisors (3964263).

4768065 is a wasteful number, since it uses less digits than its factorization.

4768065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4768065 is about 2183.5899340307. The cubic root of 4768065 is about 168.3116028109.

The spelling of 4768065 in words is "four million, seven hundred sixty-eight thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 61 81 135 183 193 305 405 549 579 915 965 1647 1737 2745 2895 4941 5211 8235 8685 11773 15633 24705 26055 35319 58865 78165 105957 176595 317871 529785 953613 1589355 4768065