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4083828 = 223761797
BaseRepresentation
bin1111100101000001110100
321200110221220
433211001310
52021140303
6223310340
746466130
oct17450164
97613856
104083828
11233a271
12144b3b0
13acca88
147843c0
1555a053
hex3e5074

4083828 has 48 divisors (see below), whose sum is σ = 11082624. Its totient is φ = 1146240.

The previous prime is 4083817. The next prime is 4083829. The reversal of 4083828 is 8283804.

4083828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40838282 = 33355302267168, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4083829) 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, 4726 + ... + 5522.

It is an arithmetic number, because the mean of its divisors is an integer number (230888).

Almost surely, 24083828 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 4083828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541312).

4083828 is an abundant number, since it is smaller than the sum of its proper divisors (6998796).

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

4083828 is a wasteful number, since it uses less digits than its factorization.

4083828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 4083828 is about 2020.8483367141. The cubic root of 4083828 is about 159.8413531635.

The spelling of 4083828 in words is "four million, eighty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 797 854 1281 1594 1708 2391 2562 3188 4782 5124 5579 9564 11158 16737 22316 33474 48617 66948 97234 145851 194468 291702 340319 583404 680638 1020957 1361276 2041914 4083828