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432042065 = 57213135649
BaseRepresentation
bin11001110000000…
…111000001010001
31010002222000021222
4121300013001101
51341100321230
6110512054425
713464203600
oct3160070121
91102860258
10432042065
11201970664
12100834415
136b67cbc0
1441545a37
1527de26e5
hex19c07051

432042065 has 24 divisors (see below), whose sum is σ = 649492200. Its totient is φ = 273466368.

The previous prime is 432042047. The next prime is 432042089. The reversal of 432042065 is 560240234.

It can be written as a sum of positive squares in 4 ways, for example, as 91565761 + 340476304 = 9569^2 + 18452^2 .

It is not a de Polignac number, because 432042065 - 220 = 430993489 is a prime.

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, 64640 + ... + 71009.

It is an arithmetic number, because the mean of its divisors is an integer number (27062175).

Almost surely, 2432042065 is an apocalyptic number.

It is an amenable number.

432042065 is a deficient number, since it is larger than the sum of its proper divisors (217450135).

432042065 is a wasteful number, since it uses less digits than its factorization.

432042065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135681 (or 135674 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 432042065 is about 20785.6215928223. The cubic root of 432042065 is about 755.9771655197.

Adding to 432042065 its reverse (560240234), we get a palindrome (992282299).

The spelling of 432042065 in words is "four hundred thirty-two million, forty-two thousand, sixty-five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 3185 135649 678245 949543 1763437 4747715 6646801 8817185 12344059 33234005 61720295 86408413 432042065