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3835128 = 2331173199
BaseRepresentation
bin1110101000010011111000
321012211210210
432220103320
51440211003
6214111120
744412063
oct16502370
97184723
103835128
11218a430
12134b4a0
13a4380b
1471b8da
1550b503
hex3a84f8

3835128 has 64 divisors (see below), whose sum is σ = 10656000. Its totient is φ = 1140480.

The previous prime is 3835123. The next prime is 3835157. The reversal of 3835128 is 8215383.

It is a happy number.

3835128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (5760) is a multiple of the sum of its prime divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3835095 and 3835104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835123) 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 15 ways as a sum of consecutive naturals, for example, 19173 + ... + 19371.

It is an arithmetic number, because the mean of its divisors is an integer number (166500).

Almost surely, 23835128 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 3835128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328000).

3835128 is an abundant number, since it is smaller than the sum of its proper divisors (6820872).

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

3835128 is a wasteful number, since it uses less digits than its factorization.

3835128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 3835128 is about 1958.3482836309. The cubic root of 3835128 is about 156.5284511078.

The spelling of 3835128 in words is "three million, eight hundred thirty-five thousand, one hundred twenty-eight".