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159852 = 223711173
BaseRepresentation
bin100111000001101100
322010021110
4213001230
520103402
63232020
71234020
oct470154
9263243
10159852
11aa110
1278610
13579b4
1442380
153256c
hex2706c

159852 has 48 divisors (see below), whose sum is σ = 467712. Its totient is φ = 41280.

The previous prime is 159839. The next prime is 159853. The reversal of 159852 is 258951.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (9744).

2159852 is an apocalyptic number.

159852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233856).

159852 is an abundant number, since it is smaller than the sum of its proper divisors (307860).

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

159852 is a wasteful number, since it uses less digits than its factorization.

159852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 159852 is about 399.8149571990. The cubic root of 159852 is about 54.2716082594.

Subtracting 159852 from its reverse (258951), we obtain a palindrome (99099).

The spelling of 159852 in words is "one hundred fifty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 173 231 308 346 462 519 692 924 1038 1211 1903 2076 2422 3633 3806 4844 5709 7266 7612 11418 13321 14532 22836 26642 39963 53284 79926 159852