Search a number
-
+
2788331 = 71322357
BaseRepresentation
bin1010101000101111101011
312020122212112
422220233223
51203211311
6135432535
732462150
oct12505753
95218775
102788331
111634a07
12b2574b
13768200
14528227
153a128b
hex2a8beb

2788331 has 12 divisors (see below), whose sum is σ = 3452112. Its totient is φ = 2205216.

The previous prime is 2788327. The next prime is 2788333. The reversal of 2788331 is 1338872.

It is not a de Polignac number, because 2788331 - 22 = 2788327 is a prime.

It is a super-2 number, since 2×27883312 = 15549579531122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2788333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5 + ... + 2361.

It is an arithmetic number, because the mean of its divisors is an integer number (287676).

22788331 is an apocalyptic number.

2788331 is a deficient number, since it is larger than the sum of its proper divisors (663781).

2788331 is a wasteful number, since it uses less digits than its factorization.

2788331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2377 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 2788331 is about 1669.8296320284. The cubic root of 2788331 is about 140.7499045647.

The spelling of 2788331 in words is "two million, seven hundred eighty-eight thousand, three hundred thirty-one".

Divisors: 1 7 13 91 169 1183 2357 16499 30641 214487 398333 2788331