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19852 = 227709
BaseRepresentation
bin100110110001100
31000020021
410312030
51113402
6231524
7111610
oct46614
930207
1019852
1113a08
12b5a4
139061
147340
155d37
hex4d8c

19852 has 12 divisors (see below), whose sum is σ = 39760. Its totient is φ = 8496.

The previous prime is 19843. The next prime is 19853. The reversal of 19852 is 25891.

19852 is an admirable number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

Its product of digits (720) is a multiple of the sum of its prime factors (720).

It is not an unprimeable number, because it can be changed into a prime (19853) 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 3 ways as a sum of consecutive naturals, for example, 327 + ... + 382.

219852 is an apocalyptic number.

It is an amenable number.

19852 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (19880).

19852 is a wasteful number, since it uses less digits than its factorization.

19852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 718 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 19852 is about 140.8971255917. The cubic root of 19852 is about 27.0770546918.

It can be divided in two parts, 198 and 52, that multiplied together give a triangular number (10296 = T143).

The spelling of 19852 in words is "nineteen thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 709 1418 2836 4963 9926 19852