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39396 = 2237267
BaseRepresentation
bin1001100111100100
32000001010
421213210
52230041
6502220
7222600
oct114744
960033
1039396
1127665
121a970
1314c16
1410500
15ba16
hex99e4

39396 has 36 divisors (see below), whose sum is σ = 108528. Its totient is φ = 11088.

The previous prime is 39383. The next prime is 39397. The reversal of 39396 is 69393.

39396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (39397) by changing a digit.

39396 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 11 ways as a sum of consecutive naturals, for example, 555 + ... + 621.

239396 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 39396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54264).

39396 is an abundant number, since it is smaller than the sum of its proper divisors (69132).

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

39396 is a wasteful number, since it uses less digits than its factorization.

39396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its digits is 4374, while the sum is 30.

The square root of 39396 is about 198.4842563026. The cubic root of 39396 is about 34.0265075868.

It can be divided in two parts, 39 and 396, that added together give a triangular number (435 = T29).

The spelling of 39396 in words is "thirty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 402 469 588 804 938 1407 1876 2814 3283 5628 6566 9849 13132 19698 39396