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39004 = 2272199
BaseRepresentation
bin1001100001011100
31222111121
421201130
52222004
6500324
7221500
oct114134
958447
1039004
1127339
121a6a4
13149a4
1410300
15b854
hex985c

39004 has 18 divisors (see below), whose sum is σ = 79800. Its totient is φ = 16632.

The previous prime is 38993. The next prime is 39019. The reversal of 39004 is 40093.

It is a nialpdrome in base 15.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 97 + ... + 295.

239004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39900).

39004 is an abundant number, since it is smaller than the sum of its proper divisors (40796).

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

39004 is a wasteful number, since it uses less digits than its factorization.

39004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 39004 is about 197.4943037153. The cubic root of 39004 is about 33.9132737790.

Adding to 39004 its reverse (40093), we get a palindrome (79097).

Subtracting 39004 from its reverse (40093), we obtain a square (1089 = 332).

The spelling of 39004 in words is "thirty-nine thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 199 398 796 1393 2786 5572 9751 19502 39004