39424 has 40 divisors (see below), whose sum is σ = 98208. Its totient is φ = 15360.

The previous prime is 39419. The next prime is 39439. The reversal of 39424 is 42493.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as **3**^{3} + **9**^{4} + **4** + **2**^{15} + **4**^{3} .

Its product of digits (864) is a multiple of the sum of its prime factors (36).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 39395 and 39404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3579 + ... + 3589.

39424 is a Friedman number, since it can be written as (3^4-4)*2^9, using all its digits and the basic arithmetic operations.

2^{39424} is an apocalyptic number.

39424 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104).

39424 is an abundant number, since it is smaller than the sum of its proper divisors (58784).

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

39424 is an equidigital number, since it uses as much as digits as its factorization.

39424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 20 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 39424 is about 198.5547783359. The cubic root of 39424 is about 34.0345669209.

The spelling of 39424 in words is "thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1232 1408 1792 2464 2816 3584 4928 5632 9856 19712 39424

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