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432005125 = 5315722013
BaseRepresentation
bin11001101111111…
…110000000000101
31010002220010121211
4121233332000011
51341043131000
6110511211421
713463661106
oct3157760005
91102803554
10432005125
11201945932
12100816b71
136b669146
14415363ad
1527dd67ba
hex19bfe005

432005125 has 16 divisors (see below), whose sum is σ = 542601072. Its totient is φ = 343387200.

The previous prime is 432005099. The next prime is 432005129. The reversal of 432005125 is 521500234.

It can be written as a sum of positive squares in 8 ways, for example, as 143209089 + 288796036 = 11967^2 + 16994^2 .

It is not a de Polignac number, because 432005125 - 27 = 432004997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 432005096 and 432005105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432005129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8619 + ... + 30631.

It is an arithmetic number, because the mean of its divisors is an integer number (33912567).

Almost surely, 2432005125 is an apocalyptic number.

It is an amenable number.

432005125 is a deficient number, since it is larger than the sum of its proper divisors (110595947).

432005125 is a wasteful number, since it uses less digits than its factorization.

432005125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22185 (or 22175 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 432005125 is about 20784.7329787996. The cubic root of 432005125 is about 755.9556193211.

Adding to 432005125 its reverse (521500234), we get a palindrome (953505359).

The spelling of 432005125 in words is "four hundred thirty-two million, five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 157 785 3925 19625 22013 110065 550325 2751625 3456041 17280205 86401025 432005125