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4082568 = 2337191279
BaseRepresentation
bin1111100100101110001000
321200102020020
433210232020
52021120233
6223300440
746462350
oct17445610
97612206
104082568
112339326
12144a720
13acc329
14783b60
155599b3
hex3e4b88

4082568 has 64 divisors (see below), whose sum is σ = 12288000. Its totient is φ = 1104192.

The previous prime is 4082563. The next prime is 4082579. The reversal of 4082568 is 8652804.

4082568 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 2×40825682 = 33334722949248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4082563) 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, 2553 + ... + 3831.

It is an arithmetic number, because the mean of its divisors is an integer number (192000).

Almost surely, 24082568 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 4082568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144000).

4082568 is an abundant number, since it is smaller than the sum of its proper divisors (8205432).

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

4082568 is a wasteful number, since it uses less digits than its factorization.

4082568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 4082568 is about 2020.5365624012. The cubic root of 4082568 is about 159.8249126392.

The spelling of 4082568 in words is "four million, eighty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1279 1596 2558 3192 3837 5116 7674 8953 10232 15348 17906 24301 26859 30696 35812 48602 53718 71624 72903 97204 107436 145806 170107 194408 214872 291612 340214 510321 583224 680428 1020642 1360856 2041284 4082568