Search a number
-
+
3939696 = 2432109251
BaseRepresentation
bin1111000001110101110000
321102011020200
433001311300
52002032241
6220235200
745325665
oct17016560
97364220
103939696
112250a52
12139bb00
13a7c2a7
14747a6c
1552c4b6
hex3c1d70

3939696 has 60 divisors (see below), whose sum is σ = 11171160. Its totient is φ = 1296000.

The previous prime is 3939673. The next prime is 3939713. The reversal of 3939696 is 6969393.

3939696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15571 + ... + 15821.

It is an arithmetic number, because the mean of its divisors is an integer number (186186).

Almost surely, 23939696 is an apocalyptic number.

3939696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3939696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585580).

3939696 is an abundant number, since it is smaller than the sum of its proper divisors (7231464).

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

3939696 is a wasteful number, since it uses less digits than its factorization.

3939696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 3939696 is about 1984.8667461570. The cubic root of 3939696 is about 157.9383405189.

The spelling of 3939696 in words is "three million, nine hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 251 327 436 502 654 753 872 981 1004 1308 1506 1744 1962 2008 2259 2616 3012 3924 4016 4518 5232 6024 7848 9036 12048 15696 18072 27359 36144 54718 82077 109436 164154 218872 246231 328308 437744 492462 656616 984924 1313232 1969848 3939696