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189828 = 22325273
BaseRepresentation
bin101110010110000100
3100122101200
4232112010
522033303
64022500
71420302
oct562604
9318350
10189828
1111a691
1291a30
1368532
144d272
153b3a3
hex2e584

189828 has 18 divisors (see below), whose sum is σ = 479934. Its totient is φ = 63264.

The previous prime is 189823. The next prime is 189851. The reversal of 189828 is 828981.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 28224 = 402^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5273 = 189828 / (1 + 8 + 9 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 189792 and 189801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2601 + ... + 2672.

It is an arithmetic number, because the mean of its divisors is an integer number (26663).

2189828 is an apocalyptic number.

189828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

189828 is an abundant number, since it is smaller than the sum of its proper divisors (290106).

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

189828 is a wasteful number, since it uses less digits than its factorization.

189828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283 (or 5278 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 189828 is about 435.6925521512. The cubic root of 189828 is about 57.4716180030.

The spelling of 189828 in words is "one hundred eighty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 5273 10546 15819 21092 31638 47457 63276 94914 189828