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2568412 = 2271131269
BaseRepresentation
bin1001110011000011011100
311211111012101
421303003130
51124142122
6131014444
730555040
oct11630334
94744171
102568412
1114a4760
12a3a424
136bc092
144ac020
1535b027
hex2730dc

2568412 has 48 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 964800.

The previous prime is 2568407. The next prime is 2568413. The reversal of 2568412 is 2148652.

2568412 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 (28).

Its product of digits (3840) is a multiple of the sum of its prime divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568413) 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, 9414 + ... + 9682.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

22568412 is an apocalyptic number.

2568412 is a gapful number since it is divisible by the number (22) 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 2568412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2568412 is an abundant number, since it is smaller than the sum of its proper divisors (3237668).

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

2568412 is a wasteful number, since it uses less digits than its factorization.

2568412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2568412 is about 1602.6265940636. The cubic root of 2568412 is about 136.9477485575.

It can be divided in two parts, 256 and 8412, that added together give a palindrome (8668).

The spelling of 2568412 in words is "two million, five hundred sixty-eight thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 269 308 341 434 538 682 868 1076 1364 1883 2387 2959 3766 4774 5918 7532 8339 9548 11836 16678 20713 33356 41426 58373 82852 91729 116746 183458 233492 366916 642103 1284206 2568412