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17442 = 2331719
BaseRepresentation
bin100010000100010
3212221000
410100202
51024232
6212430
7101565
oct42042
925830
1017442
1112117
12a116
137c29
1464dc
15527c
hex4422

17442 has 32 divisors (see below), whose sum is σ = 43200. Its totient is φ = 5184.

The previous prime is 17431. The next prime is 17443. The reversal of 17442 is 24471.

17442 = T33 + T34 + ... + T51.

It is a happy number.

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

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (17443) by changing a digit.

17442 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 15 ways as a sum of consecutive naturals, for example, 909 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

217442 is an apocalyptic number.

17442 is the 108-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600).

17442 is an abundant number, since it is smaller than the sum of its proper divisors (25758).

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

17442 is a wasteful number, since it uses less digits than its factorization.

17442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 41 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 17442 is about 132.0681642183. The cubic root of 17442 is about 25.9337564152.

Subtracting from 17442 its sum of digits (18), we obtain a square (17424 = 1322).

17442 divided by its sum of digits (18) gives a palindrome (969).

It can be divided in two parts, 174 and 42, that added together give a cube (216 = 63).

The spelling of 17442 in words is "seventeen thousand, four hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 646 918 969 1026 1938 2907 5814 8721 17442