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39248 = 2411223
BaseRepresentation
bin1001100101010000
31222211122
421211100
52223443
6501412
7222266
oct114520
958748
1039248
1127540
121a868
1314b31
1410436
15b968
hex9950

39248 has 20 divisors (see below), whose sum is σ = 83328. Its totient is φ = 17760.

The previous prime is 39241. The next prime is 39251. The reversal of 39248 is 84293.

It is a plaindrome in base 7.

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39248.

It is not an unprimeable number, because it can be changed into a prime (39241) by changing a digit.

39248 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, 65 + ... + 287.

239248 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 39248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

39248 is an abundant number, since it is smaller than the sum of its proper divisors (44080).

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

39248 is a wasteful number, since it uses less digits than its factorization.

39248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 39248 is about 198.1110799526. Note that the first 3 decimals coincide. The cubic root of 39248 is about 33.9838446894.

The spelling of 39248 in words is "thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 223 446 892 1784 2453 3568 4906 9812 19624 39248