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2809056 = 253291009
BaseRepresentation
bin1010101101110011100000
312021201022010
422231303200
51204342211
6140112520
732606445
oct12556340
95251263
102809056
111649538
12b35740
13774783
145319cc
153a74a6
hex2adce0

2809056 has 48 divisors (see below), whose sum is σ = 7635600. Its totient is φ = 903168.

The previous prime is 2809019. The next prime is 2809069. The reversal of 2809056 is 6509082.

2809056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×28090562 = 15781591222272, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2280 + ... + 3288.

It is an arithmetic number, because the mean of its divisors is an integer number (159075).

22809056 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 2809056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817800).

2809056 is an abundant number, since it is smaller than the sum of its proper divisors (4826544).

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

2809056 is a wasteful number, since it uses less digits than its factorization.

2809056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2809056 is about 1676.0238661785. The cubic root of 2809056 is about 141.0977642991.

The spelling of 2809056 in words is "two million, eight hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1009 1392 2018 2784 3027 4036 6054 8072 12108 16144 24216 29261 32288 48432 58522 87783 96864 117044 175566 234088 351132 468176 702264 936352 1404528 2809056