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820059381 = 3291117709
BaseRepresentation
bin110000111000010…
…001110011110101
32010011002022222200
4300320101303311
53134413400011
6213212415113
726215250451
oct6070216365
92104068880
10820059381
113909a1829
121aa777499
13100b8734b
147acab661
154beda856
hex30e11cf5

820059381 has 6 divisors (see below), whose sum is σ = 1184530230. Its totient is φ = 546706248.

The previous prime is 820059377. The next prime is 820059389. The reversal of 820059381 is 183950028.

820059381 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 only one way, i.e., 796932900 + 23126481 = 28230^2 + 4809^2 .

It is not a de Polignac number, because 820059381 - 22 = 820059377 is a prime.

It is a super-2 number, since 2×8200593812 = 1344994776732206322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820059389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45558846 + ... + 45558863.

It is an arithmetic number, because the mean of its divisors is an integer number (197421705).

Almost surely, 2820059381 is an apocalyptic number.

It is an amenable number.

820059381 is a deficient number, since it is larger than the sum of its proper divisors (364470849).

820059381 is a wasteful number, since it uses less digits than its factorization.

820059381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91117715 (or 91117712 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 820059381 is about 28636.6789450173. The cubic root of 820059381 is about 936.0127552776.

The spelling of 820059381 in words is "eight hundred twenty million, fifty-nine thousand, three hundred eighty-one".

Divisors: 1 3 9 91117709 273353127 820059381