Search a number
-
+
2814856 = 2311291103
BaseRepresentation
bin1010101111001110001000
312022000020221
422233032020
51210033411
6140155424
732632402
oct12571610
95260227
102814856
111652930
12b38b74
137772c5
14533b72
153a9071
hex2af388

2814856 has 32 divisors (see below), whose sum is σ = 5961600. Its totient is φ = 1234240.

The previous prime is 2814841. The next prime is 2814857. The reversal of 2814856 is 6584182.

2814856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2814857) 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 7 ways as a sum of consecutive naturals, for example, 2001 + ... + 3103.

It is an arithmetic number, because the mean of its divisors is an integer number (186300).

22814856 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 2814856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980800).

2814856 is an abundant number, since it is smaller than the sum of its proper divisors (3146744).

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

2814856 is a wasteful number, since it uses less digits than its factorization.

2814856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1145 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 2814856 is about 1677.7532595707. The cubic root of 2814856 is about 141.1948081028.

It can be divided in two parts, 28 and 14856, that added together give a square (14884 = 1222).

The spelling of 2814856 in words is "two million, eight hundred fourteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1103 1276 2206 2552 4412 8824 12133 24266 31987 48532 63974 97064 127948 255896 351857 703714 1407428 2814856