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3839216 = 241973173
BaseRepresentation
bin1110101001010011110000
321020001102012
432221103300
51440323331
6214142052
744430023
oct16512360
97201365
103839216
112192507
121351928
13a45634
1471d1ba
1550c82b
hex3a94f0

3839216 has 40 divisors (see below), whose sum is σ = 7983120. Its totient is φ = 1783296.

The previous prime is 3839203. The next prime is 3839221. The reversal of 3839216 is 6129383.

3839216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 22106 + ... + 22278.

It is an arithmetic number, because the mean of its divisors is an integer number (199578).

Almost surely, 23839216 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 3839216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991560).

3839216 is an abundant number, since it is smaller than the sum of its proper divisors (4143904).

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

3839216 is a wasteful number, since it uses less digits than its factorization.

3839216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 3839216 is about 1959.3917423527. The cubic root of 3839216 is about 156.5840477817.

The spelling of 3839216 in words is "three million, eight hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 173 292 304 346 584 692 1168 1384 1387 2768 2774 3287 5548 6574 11096 12629 13148 22192 25258 26296 50516 52592 101032 202064 239951 479902 959804 1919608 3839216