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42432 = 2631317
BaseRepresentation
bin1010010111000000
32011012120
422113000
52324212
6524240
7234465
oct122700
964176
1042432
1129975
1220680
1316410
141166c
15c88c
hexa5c0

42432 has 56 divisors (see below), whose sum is σ = 128016. Its totient is φ = 12288.

The previous prime is 42409. The next prime is 42433. The reversal of 42432 is 23424.

It is a happy number.

42432 is nontrivially palindromic in base 15.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433) by changing a digit.

42432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2488 + ... + 2504.

It is an arithmetic number, because the mean of its divisors is an integer number (2286).

242432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008).

42432 is an abundant number, since it is smaller than the sum of its proper divisors (85584).

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

42432 is a wasteful number, since it uses less digits than its factorization.

42432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 35 counting only the distinct ones).

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

The square root of 42432 is about 205.9902910333. The cubic root of 42432 is about 34.8790382138.

Adding to 42432 its product of digits (192), we get a palindrome (42624).

Adding to 42432 its reverse (23424), we get a palindrome (65856).

It can be divided in two parts, 42 and 432, that added together give a palindrome (474).

The spelling of 42432 in words is "forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3264 3536 5304 7072 10608 14144 21216 42432