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42433232 = 2419971439
BaseRepresentation
bin1010000111011…
…1101011010000
32221211211110012
42201313223100
541330330412
64113254052
71023451022
oct241675320
987754405
1042433232
1121a52796
1212264328
138a3922a
1458c8012
153ad2c22
hex2877ad0

42433232 has 40 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 19878912.

The previous prime is 42433201. The next prime is 42433249. The reversal of 42433232 is 23233424.

42433232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42433198 and 42433207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28769 + ... + 30207.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 242433232 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 42433232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).

42433232 is an abundant number, since it is smaller than the sum of its proper divisors (45061168).

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

42433232 is a wasteful number, since it uses less digits than its factorization.

42433232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1557 counting only the distinct ones).

The product of its digits is 3456, while the sum is 23.

The square root of 42433232 is about 6514.0795205462. The cubic root of 42433232 is about 348.7937577790.

Adding to 42433232 its reverse (23233424), we get a palindrome (65666656).

The spelling of 42433232 in words is "forty-two million, four hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 97 152 194 304 388 776 1439 1552 1843 2878 3686 5756 7372 11512 14744 23024 27341 29488 54682 109364 139583 218728 279166 437456 558332 1116664 2233328 2652077 5304154 10608308 21216616 42433232