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822583053 = 3367736229
BaseRepresentation
bin110001000001111…
…001111100001101
32010022211112211000
4301001321330031
53141040124203
6213342450513
726245561215
oct6101717415
92108745730
10822583053
11392365906
121ab593a39
1310155bc46
147b367245
154c3384a3
hex31079f0d

822583053 has 32 divisors (see below), whose sum is σ = 1253974400. Its totient is φ = 532718208.

The previous prime is 822583043. The next prime is 822583061. The reversal of 822583053 is 350385228.

822583053 is a `hidden beast` number, since 8 + 22 + 583 + 0 + 53 = 666.

822583053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 822583053 - 28 = 822582797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 822582999 and 822583017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822583033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128943 + ... + 135171.

It is an arithmetic number, because the mean of its divisors is an integer number (39186700).

Almost surely, 2822583053 is an apocalyptic number.

It is an amenable number.

822583053 is a deficient number, since it is larger than the sum of its proper divisors (431391347).

822583053 is a wasteful number, since it uses less digits than its factorization.

822583053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 822583053 is about 28680.7087255528. The cubic root of 822583053 is about 936.9719419809.

The spelling of 822583053 in words is "eight hundred twenty-two million, five hundred eighty-three thousand, fifty-three".

Divisors: 1 3 9 27 67 73 201 219 603 657 1809 1971 4891 6229 14673 18687 44019 56061 132057 168183 417343 454717 1252029 1364151 3756087 4092453 11268261 12277359 30466039 91398117 274194351 822583053