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19628 = 227701
BaseRepresentation
bin100110010101100
3222220222
410302230
51112003
6230512
7111140
oct46254
928828
1019628
1113824
12b438
138c1b
147220
155c38
hex4cac

19628 has 12 divisors (see below), whose sum is σ = 39312. Its totient is φ = 8400.

The previous prime is 19609. The next prime is 19661. The reversal of 19628 is 82691.

19628 is an admirable number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 19597 and 19606.

It is an unprimeable number.

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, 323 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

219628 is an apocalyptic number.

It is an amenable number.

19628 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 (19656).

19628 is a wasteful number, since it uses less digits than its factorization.

19628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 19628 is about 140.0999643112. The cubic root of 19628 is about 26.9748279340.

The spelling of 19628 in words is "nineteen thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 701 1402 2804 4907 9814 19628