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38442 = 2343149
BaseRepresentation
bin1001011000101010
31221201210
421120222
52212232
6453550
7220035
oct113052
957653
1038442
1126978
121a2b6
1314661
141001c
15b5cc
hex962a

38442 has 16 divisors (see below), whose sum is σ = 79200. Its totient is φ = 12432.

The previous prime is 38431. The next prime is 38447. The reversal of 38442 is 24483.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (38447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (4950).

238442 is an apocalyptic number.

38442 is an abundant number, since it is smaller than the sum of its proper divisors (40758).

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 (39600).

38442 is a wasteful number, since it uses less digits than its factorization.

38442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197.

The product of its digits is 768, while the sum is 21.

The square root of 38442 is about 196.0663153119. The cubic root of 38442 is about 33.7496021901.

The spelling of 38442 in words is "thirty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 43 86 129 149 258 298 447 894 6407 12814 19221 38442