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2749136 = 241313217
BaseRepresentation
bin1010011111001011010000
312011200002212
422133023100
51200433021
6134531252
732236655
oct12371320
95150085
102749136
111608515
12b06b28
13753410
14517c2c
1539485b
hex29f2d0

2749136 has 20 divisors (see below), whose sum is σ = 5736612. Its totient is φ = 1268736.

The previous prime is 2749133. The next prime is 2749147. The reversal of 2749136 is 6319472.

2749136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 732736 + 2016400 = 856^2 + 1420^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2749133) 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, 6401 + ... + 6816.

22749136 is an apocalyptic number.

2749136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2749136 is an abundant number, since it is smaller than the sum of its proper divisors (2987476).

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

2749136 is a wasteful number, since it uses less digits than its factorization.

2749136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13238 (or 13232 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 2749136 is about 1658.0518689112. The cubic root of 2749136 is about 140.0872924990.

The spelling of 2749136 in words is "two million, seven hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 13217 26434 52868 105736 171821 211472 343642 687284 1374568 2749136