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820389293 is a prime number
BaseRepresentation
bin110000111001100…
…010010110101101
32010011201002112122
4300321202112231
53140004424133
6213223442325
726221123343
oct6071422655
92104632478
10820389293
113910a7689
121aa8b63a5
13100c71569
147ad55993
154c053498
hex30e625ad

820389293 has 2 divisors, whose sum is σ = 820389294. Its totient is φ = 820389292.

The previous prime is 820389287. The next prime is 820389307. The reversal of 820389293 is 392983028.

820389293 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., 608016964 + 212372329 = 24658^2 + 14573^2 .

It is a cyclic number.

It is not a de Polignac number, because 820389293 - 210 = 820388269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820319293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410194646 + 410194647.

It is an arithmetic number, because the mean of its divisors is an integer number (410194647).

Almost surely, 2820389293 is an apocalyptic number.

It is an amenable number.

820389293 is a deficient number, since it is larger than the sum of its proper divisors (1).

820389293 is an equidigital number, since it uses as much as digits as its factorization.

820389293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 820389293 is about 28642.4386706160. The cubic root of 820389293 is about 936.1382585627.

The spelling of 820389293 in words is "eight hundred twenty million, three hundred eighty-nine thousand, two hundred ninety-three".