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2056 = 23257
BaseRepresentation
bin100000001000
32211011
4200020
531211
613304
75665
oct4010
92734
102056
1115aa
121234
13c22
14a6c
15921
hex808

2056 has 8 divisors (see below), whose sum is σ = 3870. Its totient is φ = 1024.

The previous prime is 2053. The next prime is 2063. The reversal of 2056 is 6502.

Adding to 2056 its product of nonzero digits (60), we get a square (2116 = 462).

Adding to 2056 its reverse (6502), we get a palindrome (8558).

2056 is nontrivially palindromic in base 7 and base 16.

2056 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 1156 + 900 = 34^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

2056 is an undulating number in base 16.

It is a plaindrome in base 11 and base 12.

It is a nialpdrome in base 13 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 2056 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121 + ... + 136.

It is the magic constant of a 16 × 16 magic square.

It is an amenable number.

2056 is a deficient number, since it is larger than the sum of its proper divisors (1814).

2056 is a wasteful number, since it uses less digits than its factorization.

2056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2056 is about 45.3431361950. The cubic root of 2056 is about 12.7157223595.

The spelling of 2056 in words is "two thousand, fifty-six", and thus it is an eban number.

Divisors: 1 2 4 8 257 514 1028 2056