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4085844 = 2237127383
BaseRepresentation
bin1111100101100001010100
321200120201120
433211201110
52021221334
6223323540
746505040
oct17454124
97616646
104085844
112340834
1214505b0
13b00979
14785020
1555a949
hex3e5854

4085844 has 48 divisors (see below), whose sum is σ = 11010048. Its totient is φ = 1155168.

The previous prime is 4085827. The next prime is 4085849. The reversal of 4085844 is 4485804.

4085844 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 (4085849) 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, 10477 + ... + 10859.

It is an arithmetic number, because the mean of its divisors is an integer number (229376).

Almost surely, 24085844 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 4085844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505024).

4085844 is an abundant number, since it is smaller than the sum of its proper divisors (6924204).

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

4085844 is a wasteful number, since it uses less digits than its factorization.

4085844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 4085844 is about 2021.3470755909. The cubic root of 4085844 is about 159.8676509702.

The spelling of 4085844 in words is "four million, eighty-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 383 508 762 766 889 1149 1524 1532 1778 2298 2667 2681 3556 4596 5334 5362 8043 10668 10724 16086 32172 48641 97282 145923 194564 291846 340487 583692 680974 1021461 1361948 2042922 4085844