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39948 = 2233329
BaseRepresentation
bin1001110000001100
32000210120
421300030
52234243
6504540
7224316
oct116014
960716
1039948
1128017
121b150
131524c
14107b6
15bc83
hex9c0c

39948 has 12 divisors (see below), whose sum is σ = 93240. Its totient is φ = 13312.

The previous prime is 39937. The next prime is 39953. The reversal of 39948 is 84993.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39948.

It is an unprimeable number.

39948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1653 + ... + 1676.

It is an arithmetic number, because the mean of its divisors is an integer number (7770).

239948 is an apocalyptic number.

It is an amenable number.

39948 is an abundant number, since it is smaller than the sum of its proper divisors (53292).

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 (46620).

39948 is a wasteful number, since it uses less digits than its factorization.

39948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3334 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 39948 is about 199.8699577225. The cubic root of 39948 is about 34.1846927154.

The spelling of 39948 in words is "thirty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 3329 6658 9987 13316 19974 39948