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42112 = 27747
BaseRepresentation
bin1010010010000000
32010202201
422102000
52321422
6522544
7233530
oct122200
963681
1042112
1129704
1220454
1316225
14114c0
15c727
hexa480

42112 has 32 divisors (see below), whose sum is σ = 97920. Its totient is φ = 17664.

The previous prime is 42101. The next prime is 42131. The reversal of 42112 is 21124.

It is a tau number, because it is divible by the number of its divisors (32).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 873 + ... + 919.

It is an arithmetic number, because the mean of its divisors is an integer number (3060).

242112 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 42112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960).

42112 is an abundant number, since it is smaller than the sum of its proper divisors (55808).

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

42112 is an equidigital number, since it uses as much as digits as its factorization.

42112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 56 counting only the distinct ones).

The product of its digits is 16, while the sum is 10.

The square root of 42112 is about 205.2120854141. The cubic root of 42112 is about 34.7911370392.

Adding to 42112 its reverse (21124), we get a palindrome (63236).

It can be divided in two parts, 4 and 2112, that multiplied together give a palindrome (8448).

The spelling of 42112 in words is "forty-two thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 329 376 448 658 752 896 1316 1504 2632 3008 5264 6016 10528 21056 42112