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3829868 = 2271923313
BaseRepresentation
bin1110100111000001101100
321012120120222
432213001230
51440023433
6214030512
744360540
oct16470154
97176528
103829868
112186489
121348438
13a412c3
14719a20
15509b98
hex3a706c

3829868 has 48 divisors (see below), whose sum is σ = 8440320. Its totient is φ = 1482624.

The previous prime is 3829853. The next prime is 3829873. The reversal of 3829868 is 8689283.

3829868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 39 + 83 + 27 + 9 + 85 + 68 + 87 .

It is an unprimeable number.

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, 12080 + ... + 12392.

It is an arithmetic number, because the mean of its divisors is an integer number (175840).

Almost surely, 23829868 is an apocalyptic number.

3829868 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3829868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220160).

3829868 is an abundant number, since it is smaller than the sum of its proper divisors (4610452).

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

3829868 is a wasteful number, since it uses less digits than its factorization.

3829868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The square root of 3829868 is about 1957.0048543629. The cubic root of 3829868 is about 156.4568571173.

The spelling of 3829868 in words is "three million, eight hundred twenty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 313 322 437 532 626 644 874 1252 1748 2191 3059 4382 5947 6118 7199 8764 11894 12236 14398 23788 28796 41629 50393 83258 100786 136781 166516 201572 273562 547124 957467 1914934 3829868