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2782993 is a prime number
BaseRepresentation
bin1010100111011100010001
312020101112211
422213130101
51203023433
6135352121
732440453
oct12473421
95211484
102782993
1116309a4
12b22641
13765955
145262d3
1539e8cd
hex2a7711

2782993 has 2 divisors, whose sum is σ = 2782994. Its totient is φ = 2782992.

The previous prime is 2782991. The next prime is 2782999. The reversal of 2782993 is 3992872.

2782993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2765569 + 17424 = 1663^2 + 132^2 .

It is a cyclic number.

It is not a de Polignac number, because 2782993 - 21 = 2782991 is a prime.

Together with 2782991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2782991) 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 as a sum of consecutive naturals, namely, 1391496 + 1391497.

It is an arithmetic number, because the mean of its divisors is an integer number (1391497).

22782993 is an apocalyptic number.

It is an amenable number.

2782993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2782993 is an equidigital number, since it uses as much as digits as its factorization.

2782993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 40.

The square root of 2782993 is about 1668.2304996612. The cubic root of 2782993 is about 140.6600296602.

The spelling of 2782993 in words is "two million, seven hundred eighty-two thousand, nine hundred ninety-three".