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2282048 = 26181197
BaseRepresentation
bin1000101101001001000000
311021221101022
420231021000
51041011143
6120525012
725253126
oct10551100
94257338
102282048
11131959a
12920768
1361b932
14435916
15301268
hex22d240

2282048 has 28 divisors (see below), whose sum is σ = 4576572. Its totient is φ = 1128960.

The previous prime is 2282047. The next prime is 2282057. The reversal of 2282048 is 8402822.

It can be written as a sum of positive squares in 2 ways, for example, as 1098304 + 1183744 = 1048^2 + 1088^2 .

It is not an unprimeable number, because it can be changed into a prime (2282041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11486 + ... + 11682.

It is an arithmetic number, because the mean of its divisors is an integer number (163449).

22282048 is an apocalyptic number.

It is an amenable number.

2282048 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2282048 is a wasteful number, since it uses less digits than its factorization.

2282048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2282048 is about 1510.6448954006. The cubic root of 2282048 is about 131.6562836086.

The spelling of 2282048 in words is "two million, two hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 181 197 362 394 724 788 1448 1576 2896 3152 5792 6304 11584 12608 35657 71314 142628 285256 570512 1141024 2282048