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39648 = 253759
BaseRepresentation
bin1001101011100000
32000101110
421223200
52232043
6503320
7223410
oct115340
960343
1039648
1127874
121ab40
131507b
1410640
15bb33
hex9ae0

39648 has 48 divisors (see below), whose sum is σ = 120960. Its totient is φ = 11136.

The previous prime is 39631. The next prime is 39659. The reversal of 39648 is 84693.

It can be divided in two parts, 396 and 48, that added together give a palindrome (444).

It is a tau number, because it is divible by the number of its divisors (48).

It is a tetranacci number.

It is a d-powerful number, because it can be written as 33 + 94 + 62 + 44 + 85 .

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

39648 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 643 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

239648 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 39648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

39648 is an abundant number, since it is smaller than the sum of its proper divisors (81312).

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

39648 is a wasteful number, since it uses less digits than its factorization.

39648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 39648 is about 199.1180554345. The cubic root of 39648 is about 34.0989046297.

The spelling of 39648 in words is "thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 3304 4956 5664 6608 9912 13216 19824 39648