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432042 = 231329191
BaseRepresentation
bin1101001011110101010
3210221122120
41221132222
5102311132
613132110
73446412
oct1513652
9727576
10432042
11275666
1218a036
13121860
14b3642
158802c
hex697aa

432042 has 32 divisors (see below), whose sum is σ = 967680. Its totient is φ = 127680.

The previous prime is 432037. The next prime is 432043. The reversal of 432042 is 240234.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (432043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2167 + ... + 2357.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2432042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

432042 is an abundant number, since it is smaller than the sum of its proper divisors (535638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

432042 is a wasteful number, since it uses less digits than its factorization.

432042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 432042 is about 657.2990187122. The cubic root of 432042 is about 75.5977127608.

Adding to 432042 its product of nonzero digits (192), we get a palindrome (432234).

Adding to 432042 its reverse (240234), we get a palindrome (672276).

The spelling of 432042 in words is "four hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 191 377 382 573 754 1131 1146 2262 2483 4966 5539 7449 11078 14898 16617 33234 72007 144014 216021 432042