Search a number
-
+
2642781 = 331157181
BaseRepresentation
bin1010000101001101011101
311222021012210
422011031131
51134032111
6132351033
731314621
oct12051535
94867183
102642781
111545619
12a75479
13716b9b
144cb181
153730a6
hex28535d

2642781 has 16 divisors (see below), whose sum is σ = 3680768. Its totient is φ = 1684800.

The previous prime is 2642777. The next prime is 2642789. The reversal of 2642781 is 1872462.

2642781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2642781 - 22 = 2642777 is a prime.

It is a super-2 number, since 2×26427812 = 13968582827922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642789) 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, 14511 + ... + 14691.

It is an arithmetic number, because the mean of its divisors is an integer number (230048).

22642781 is an apocalyptic number.

It is an amenable number.

2642781 is a deficient number, since it is larger than the sum of its proper divisors (1037987).

2642781 is a wasteful number, since it uses less digits than its factorization.

2642781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its digits is 5376, while the sum is 30.

The square root of 2642781 is about 1625.6632492617. The cubic root of 2642781 is about 138.2569775872.

The spelling of 2642781 in words is "two million, six hundred forty-two thousand, seven hundred eighty-one".

Divisors: 1 3 31 93 157 181 471 543 4867 5611 14601 16833 28417 85251 880927 2642781