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2841728 = 271492
BaseRepresentation
bin1010110101110010000000
312100101010012
422311302000
51211413403
6140524052
733103631
oct12656200
95311105
102841728
11167103a
12b50628
137865c6
1453d888
153b1ed8
hex2b5c80

2841728 has 24 divisors (see below), whose sum is σ = 5699505. Its totient is φ = 1411328.

The previous prime is 2841691. The next prime is 2841733. The reversal of 2841728 is 8271482.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2334784 + 506944 = 1528^2 + 712^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1192.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2841694 and 2841703.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18998 + ... + 19146.

22841728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2841728

2841728 is an abundant number, since it is smaller than the sum of its proper divisors (2857777).

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

2841728 is an frugal number, since it uses more digits than its factorization.

2841728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 151 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 2841728 is about 1685.7425663487. The cubic root of 2841728 is about 141.6426909060.

Multiplying 2841728 by its sum of digits (32), we get a square (90935296 = 95362).

2841728 divided by its sum of digits (32) gives a square (88804 = 2982).

The spelling of 2841728 in words is "two million, eight hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 2384 4768 9536 19072 22201 44402 88804 177608 355216 710432 1420864 2841728