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42392 = 237757
BaseRepresentation
bin1010010110011000
32011011002
422112120
52324032
6524132
7234410
oct122630
964132
1042392
1129939
1220648
13163ac
1411640
15c862
hexa598

42392 has 16 divisors (see below), whose sum is σ = 90960. Its totient is φ = 18144.

The previous prime is 42391. The next prime is 42397. The reversal of 42392 is 29324.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (5685).

242392 is an apocalyptic number.

It is an amenable number.

42392 is an abundant number, since it is smaller than the sum of its proper divisors (48568).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45480).

42392 is a wasteful number, since it uses less digits than its factorization.

42392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 766 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 42392 is about 205.8931761861. The cubic root of 42392 is about 34.8680747887.

Adding to 42392 its product of digits (432), we get a palindrome (42824).

It can be divided in two parts, 423 and 92, that added together give a palindrome (515).

The spelling of 42392 in words is "forty-two thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 56 757 1514 3028 5299 6056 10598 21196 42392