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42084 = 22327167
BaseRepresentation
bin1010010001100100
32010201200
422101210
52321314
6522500
7233460
oct122144
963650
1042084
1129689
1220430
1316203
14114a0
15c709
hexa464

42084 has 36 divisors (see below), whose sum is σ = 122304. Its totient is φ = 11952.

The previous prime is 42083. The next prime is 42089. The reversal of 42084 is 48024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169 + ... + 335.

242084 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 42084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

42084 is an abundant number, since it is smaller than the sum of its proper divisors (80220).

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

42084 is a wasteful number, since it uses less digits than its factorization.

42084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42084 is about 205.1438519673. The cubic root of 42084 is about 34.7834245280.

The spelling of 42084 in words is "forty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 167 252 334 501 668 1002 1169 1503 2004 2338 3006 3507 4676 6012 7014 10521 14028 21042 42084