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2832096 = 25329501
BaseRepresentation
bin1010110011011011100000
312022212220110
422303123200
51211111341
6140411320
733033561
oct12633340
95285813
102832096
111664883
12b46b40
137820c7
1453a168
153ae216
hex2b36e0

2832096 has 24 divisors (see below), whose sum is σ = 7434504. Its totient is φ = 944000.

The previous prime is 2832077. The next prime is 2832097. The reversal of 2832096 is 6902382.

2832096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832097) 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 3 ways as a sum of consecutive naturals, for example, 14655 + ... + 14846.

It is an arithmetic number, because the mean of its divisors is an integer number (309771).

22832096 is an apocalyptic number.

It is an amenable number.

2832096 is an abundant number, since it is smaller than the sum of its proper divisors (4602408).

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

2832096 is a wasteful number, since it uses less digits than its factorization.

2832096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29514 (or 29506 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2832096 is about 1682.8832401566. The cubic root of 2832096 is about 141.4824777380.

The spelling of 2832096 in words is "two million, eight hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 29501 59002 88503 118004 177006 236008 354012 472016 708024 944032 1416048 2832096