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743828009 is a prime number
BaseRepresentation
bin101100010101011…
…110101000101001
31220211122101012112
4230111132220221
53010404444014
6201450452105
724301301531
oct5425365051
91824571175
10743828009
11351964aa1
12189134035
13bb146422
1470b064c1
154547d73e
hex2c55ea29

743828009 has 2 divisors, whose sum is σ = 743828010. Its totient is φ = 743828008.

The previous prime is 743827999. The next prime is 743828011. The reversal of 743828009 is 900828347.

743828009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 739840000 + 3988009 = 27200^2 + 1997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-743828009 is a prime.

Together with 743828011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (743828039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 371914004 + 371914005.

It is an arithmetic number, because the mean of its divisors is an integer number (371914005).

Almost surely, 2743828009 is an apocalyptic number.

It is an amenable number.

743828009 is a deficient number, since it is larger than the sum of its proper divisors (1).

743828009 is an equidigital number, since it uses as much as digits as its factorization.

743828009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 743828009 is about 27273.2104637500. The cubic root of 743828009 is about 906.0611501917.

The spelling of 743828009 in words is "seven hundred forty-three million, eight hundred twenty-eight thousand, nine".