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3836896 = 25722447
BaseRepresentation
bin1110101000101111100000
321012221020021
432220233200
51440240041
6214123224
744420200
oct16505740
97187207
103836896
112190798
121350514
13a4456b
1471c400
1550bcd1
hex3a8be0

3836896 has 36 divisors (see below), whose sum is σ = 8790768. Its totient is φ = 1643712.

The previous prime is 3836893. The next prime is 3836927. The reversal of 3836896 is 6986383.

3836896 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 not an unprimeable number, because it can be changed into a prime (3836891) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 345 + ... + 2791.

It is an arithmetic number, because the mean of its divisors is an integer number (244188).

Almost surely, 23836896 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 3836896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395384).

3836896 is an abundant number, since it is smaller than the sum of its proper divisors (4953872).

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

3836896 is a wasteful number, since it uses less digits than its factorization.

3836896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2456 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 3836896 is about 1958.7996324280. The cubic root of 3836896 is about 156.5525006994.

The spelling of 3836896 in words is "three million, eight hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2447 4894 9788 17129 19576 34258 39152 68516 78304 119903 137032 239806 274064 479612 548128 959224 1918448 3836896