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432241405 = 5172893361
BaseRepresentation
bin11001110000110…
…111101011111101
31010010100010201221
4121300313223331
51341123211110
6110520233341
713465664011
oct3160675375
91103303657
10432241405
11201a97402
1210090b851
136b71c85b
1441598541
1527e317da
hex19c37afd

432241405 has 24 divisors (see below), whose sum is σ = 557352360. Its totient is φ = 321699840.

The previous prime is 432241399. The next prime is 432241421. The reversal of 432241405 is 504142234.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17589636 + 414651769 = 4194^2 + 20363^2 .

It is not a de Polignac number, because 432241405 - 225 = 398686973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 432241405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126925 + ... + 130285.

It is an arithmetic number, because the mean of its divisors is an integer number (23223015).

Almost surely, 2432241405 is an apocalyptic number.

It is an amenable number.

432241405 is a deficient number, since it is larger than the sum of its proper divisors (125110955).

432241405 is a wasteful number, since it uses less digits than its factorization.

432241405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 432241405 is about 20790.4161815006. The cubic root of 432241405 is about 756.0934144761.

Adding to 432241405 its reverse (504142234), we get a palindrome (936383639).

The spelling of 432241405 in words is "four hundred thirty-two million, two hundred forty-one thousand, four hundred five".

Divisors: 1 5 17 85 89 289 445 1445 1513 3361 7565 16805 25721 57137 128605 285685 299129 971329 1495645 4856645 5085193 25425965 86448281 432241405