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42096 = 243877
BaseRepresentation
bin1010010001110000
32010202010
422101300
52321341
6522520
7233505
oct122160
963663
1042096
112969a
1220440
1316212
14114ac
15c716
hexa470

42096 has 20 divisors (see below), whose sum is σ = 108872. Its totient is φ = 14016.

The previous prime is 42089. The next prime is 42101. The reversal of 42096 is 69024.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

42096 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 3 ways as a sum of consecutive naturals, for example, 391 + ... + 486.

242096 is an apocalyptic number.

It is an amenable number.

42096 is an abundant number, since it is smaller than the sum of its proper divisors (66776).

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 (54436).

42096 is a wasteful number, since it uses less digits than its factorization.

42096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 42096 is about 205.1730976517. The cubic root of 42096 is about 34.7867303087.

The spelling of 42096 in words is "forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 877 1754 2631 3508 5262 7016 10524 14032 21048 42096