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2286928 = 24722917
BaseRepresentation
bin1000101110010101010000
311022012002001
420232111100
51041140203
6121003344
725303300
oct10562520
94265061
102286928
111322226
12923554
13620c17
14437600
1530291d
hex22e550

2286928 has 30 divisors (see below), whose sum is σ = 5156106. Its totient is φ = 979776.

The previous prime is 2286883. The next prime is 2286953. The reversal of 2286928 is 8296822.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 784 = 1512^2 + 28^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 675 + ... + 2242.

22286928 is an apocalyptic number.

2286928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2286928 is an abundant number, since it is smaller than the sum of its proper divisors (2869178).

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

2286928 is a wasteful number, since it uses less digits than its factorization.

2286928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2926 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 2286928 is about 1512.2592370358. The cubic root of 2286928 is about 131.7500627110.

The spelling of 2286928 in words is "two million, two hundred eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2917 5834 11668 20419 23336 40838 46672 81676 142933 163352 285866 326704 571732 1143464 2286928