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33942 = 235657
BaseRepresentation
bin1000010010010110
31201120010
420102112
52041232
6421050
7200646
oct102226
951503
1033942
1123557
1217786
13125ac
14c526
15a0cc
hex8496

33942 has 8 divisors (see below), whose sum is σ = 67896. Its totient is φ = 11312.

The previous prime is 33941. The next prime is 33961. The reversal of 33942 is 24933.

It is a sphenic number, since it is the product of 3 distinct primes.

33942 is an admirable number.

It is a plaindrome in base 11 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2823 + ... + 2834.

It is an arithmetic number, because the mean of its divisors is an integer number (8487).

233942 is an apocalyptic number.

33942 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (33948).

33942 is a wasteful number, since it uses less digits than its factorization.

33942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662.

The product of its digits is 648, while the sum is 21.

The square root of 33942 is about 184.2335474337. The cubic root of 33942 is about 32.3776862060.

Subtracting from 33942 its reverse (24933), we obtain a palindrome (9009).

The spelling of 33942 in words is "thirty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 5657 11314 16971 33942