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84042 = 23272329
BaseRepresentation
bin10100100001001010
311021021200
4110201022
510142132
61445030
7500010
oct244112
9137250
1084042
1158162
1240776
132c33a
14228b0
1519d7c
hex1484a

84042 has 48 divisors (see below), whose sum is σ = 224640. Its totient is φ = 22176.

The previous prime is 84017. The next prime is 84047. The reversal of 84042 is 24048.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (84047) by changing a digit.

84042 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 23 ways as a sum of consecutive naturals, for example, 2884 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

284042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320).

84042 is an abundant number, since it is smaller than the sum of its proper divisors (140598).

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

84042 is a wasteful number, since it uses less digits than its factorization.

84042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 64 counting only the distinct ones).

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

The square root of 84042 is about 289.8999827527. The cubic root of 84042 is about 43.8024893813.

The spelling of 84042 in words is "eighty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 29 42 46 58 63 69 87 126 138 161 174 203 207 261 322 406 414 483 522 609 667 966 1218 1334 1449 1827 2001 2898 3654 4002 4669 6003 9338 12006 14007 28014 42021 84042