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9942 = 231657
BaseRepresentation
bin10011011010110
3111122020
42123112
5304232
6114010
740662
oct23326
914566
109942
117519
125906
1346aa
1438a2
152e2c
hex26d6

9942 has 8 divisors (see below), whose sum is σ = 19896. Its totient is φ = 3312.

The previous prime is 9941. The next prime is 9949. The reversal of 9942 is 2499.

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

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9941) 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, 823 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (2487).

29942 is an apocalyptic number.

9942 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 (9948).

9942 is a wasteful number, since it uses less digits than its factorization.

9942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662.

The product of its digits is 648, while the sum is 24.

The square root of 9942 is about 99.7095782761. The cubic root of 9942 is about 21.5026137078.

It can be divided in two parts, 99 and 42, that added together give a palindrome (141).

The spelling of 9942 in words is "nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 1657 3314 4971 9942