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3826284 = 22371141101
BaseRepresentation
bin1110100110001001101100
321012101200020
432212021230
51434420114
6214002140
744344230
oct16461154
97171606
103826284
112183820
121346350
13a3c797
147185c0
15508aa9
hex3a626c

3826284 has 96 divisors (see below), whose sum is σ = 11515392. Its totient is φ = 960000.

The previous prime is 3826283. The next prime is 3826297. The reversal of 3826284 is 4826283.

3826284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826283) 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 31 ways as a sum of consecutive naturals, for example, 37834 + ... + 37934.

It is an arithmetic number, because the mean of its divisors is an integer number (119952).

Almost surely, 23826284 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 3826284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757696).

3826284 is an abundant number, since it is smaller than the sum of its proper divisors (7689108).

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

3826284 is a wasteful number, since it uses less digits than its factorization.

3826284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 3826284 is about 1956.0889550325. The cubic root of 3826284 is about 156.4080376470.

Subtracting 3826284 from its reverse (4826283), we obtain a palindrome (999999).

It can be divided in two parts, 382 and 6284, that added together give a palindrome (6666).

The spelling of 3826284 in words is "three million, eight hundred twenty-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 66 77 82 84 101 123 132 154 164 202 231 246 287 303 308 404 451 462 492 574 606 707 861 902 924 1111 1148 1212 1353 1414 1722 1804 2121 2222 2706 2828 3157 3333 3444 4141 4242 4444 5412 6314 6666 7777 8282 8484 9471 12423 12628 13332 15554 16564 18942 23331 24846 28987 31108 37884 45551 46662 49692 57974 86961 91102 93324 115948 136653 173922 182204 273306 318857 347844 546612 637714 956571 1275428 1913142 3826284