42000 has 80 divisors (see below), whose sum is σ = 154752. Its totient is φ = 9600.
The previous prime is 41999. The next prime is 42013. The reversal of 42000 is 24.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a nialpdrome in base 10 and base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 42000.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5997 + ... + 6003.
242000 is an apocalyptic number.
42000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376).
42000 is an abundant number, since it is smaller than the sum of its proper divisors (112752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42000 is a wasteful number, since it uses less digits than its factorization.
42000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 6.
The square root of 42000 is about 204.9390153192. The cubic root of 42000 is about 34.7602664489.
Adding to 42000 its reverse (24), we get a palindrome (42024).
It can be divided in two parts, 4 and 2000, that multiplied together give a cube (8000 = 203).
The spelling of 42000 in words is "forty-two thousand", and thus it is an eban number and an iban number.
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