Search a number
-
+
2852382 = 231322997
BaseRepresentation
bin1010111000011000011110
312100220201210
422320120132
51212234012
6141045250
733146661
oct12703036
95326653
102852382
111679045
12b56826
1378b400
145436d8
153b523c
hex2b861e

2852382 has 48 divisors (see below), whose sum is σ = 6456240. Its totient is φ = 838656.

The previous prime is 2852371. The next prime is 2852387. The reversal of 2852382 is 2832582.

2852382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852387) 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 23 ways as a sum of consecutive naturals, for example, 29358 + ... + 29454.

It is an arithmetic number, because the mean of its divisors is an integer number (134505).

22852382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228120).

2852382 is an abundant number, since it is smaller than the sum of its proper divisors (3603858).

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

2852382 is a wasteful number, since it uses less digits than its factorization.

2852382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 2852382 is about 1688.8996417786. The cubic root of 2852382 is about 141.8194823113.

The spelling of 2852382 in words is "two million, eight hundred fifty-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 97 169 174 194 291 338 377 507 582 754 1014 1131 1261 2262 2522 2813 3783 4901 5626 7566 8439 9802 14703 16393 16878 29406 32786 36569 49179 73138 98358 109707 219414 475397 950794 1426191 2852382