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4264065 = 3251337197
BaseRepresentation
bin10000010001000010000001
322000122012100
4100101002001
52042422230
6231221013
751146451
oct20210201
98018170
104264065
112452723
121517769
13b63b20
147cdd61
15593660
hex411081

4264065 has 48 divisors (see below), whose sum is σ = 8216208. Its totient is φ = 2032128.

The previous prime is 4264063. The next prime is 4264067. The reversal of 4264065 is 5604624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4264063) and next prime (4264067).

It can be written as a sum of positive squares in 8 ways, for example, as 331776 + 3932289 = 576^2 + 1983^2 .

It is not a de Polignac number, because 4264065 - 21 = 4264063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4264063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21547 + ... + 21743.

It is an arithmetic number, because the mean of its divisors is an integer number (171171).

Almost surely, 24264065 is an apocalyptic number.

4264065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4264065 is a deficient number, since it is larger than the sum of its proper divisors (3952143).

4264065 is a wasteful number, since it uses less digits than its factorization.

4264065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4264065 is about 2064.9612587165. The cubic root of 4264065 is about 162.1590801329.

Adding to 4264065 its reverse (5604624), we get a palindrome (9868689).

The spelling of 4264065 in words is "four million, two hundred sixty-four thousand, sixty-five".

Divisors: 1 3 5 9 13 15 37 39 45 65 111 117 185 195 197 333 481 555 585 591 985 1443 1665 1773 2405 2561 2955 4329 7215 7289 7683 8865 12805 21645 21867 23049 36445 38415 65601 94757 109335 115245 284271 328005 473785 852813 1421355 4264065