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2832795 = 325717232
BaseRepresentation
bin1010110011100110011011
312022220212100
422303212123
51211122140
6140414443
733035610
oct12634633
95286770
102832795
111665359
12b47423
13782514
1453a507
153ae530
hex2b399b

2832795 has 72 divisors (see below), whose sum is σ = 6211296. Its totient is φ = 1165824.

The previous prime is 2832793. The next prime is 2832799. The reversal of 2832795 is 5972382.

It is a happy number.

It is not a de Polignac number, because 2832795 - 21 = 2832793 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

2832795 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2832793) 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 71 ways as a sum of consecutive naturals, for example, 123154 + ... + 123176.

It is an arithmetic number, because the mean of its divisors is an integer number (86268).

22832795 is an apocalyptic number.

2832795 is an abundant number, since it is smaller than the sum of its proper divisors (3378501).

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

2832795 is a wasteful number, since it uses less digits than its factorization.

2832795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2832795 is about 1683.0909066358. The cubic root of 2832795 is about 141.4941167169.

It can be divided in two parts, 28 and 32795, that added together give a palindrome (32823).

The spelling of 2832795 in words is "two million, eight hundred thirty-two thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 21 23 35 45 51 63 69 85 105 115 119 153 161 207 255 315 345 357 391 483 529 595 765 805 1035 1071 1173 1449 1587 1785 1955 2415 2645 2737 3519 3703 4761 5355 5865 7245 7935 8211 8993 11109 13685 17595 18515 23805 24633 26979 33327 41055 44965 55545 62951 80937 123165 134895 166635 188853 314755 404685 566559 944265 2832795