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188442 = 23219229
BaseRepresentation
bin101110000000011010
3100120111100
4232000122
522012232
64012230
71413252
oct560032
9316440
10188442
11119641
1291076
1367a07
144c962
153ac7c
hex2e01a

188442 has 36 divisors (see below), whose sum is σ = 445770. Its totient is φ = 57456.

The previous prime is 188437. The next prime is 188443. The reversal of 188442 is 244881.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 29241 = 399^2 + 171^2 .

It is not an unprimeable number, because it can be changed into a prime (188443) 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 17 ways as a sum of consecutive naturals, for example, 6484 + ... + 6512.

2188442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222885).

188442 is an abundant number, since it is smaller than the sum of its proper divisors (257328).

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

188442 is a wasteful number, since it uses less digits than its factorization.

188442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 188442 is about 434.0990670342. The cubic root of 188442 is about 57.3314027954.

It can be divided in two parts, 188 and 442, that added together give a triangular number (630 = T35).

The spelling of 188442 in words is "one hundred eighty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 361 522 551 722 1083 1102 1653 2166 3249 3306 4959 6498 9918 10469 20938 31407 62814 94221 188442