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823551053 = 1331265921
BaseRepresentation
bin110001000101100…
…110010001001101
32010101122201122212
4301011212101031
53141312113203
6213415320205
726260032323
oct6105462115
92111581585
10823551053
11392967106
121ab980065
1310180a720
147b539d13
154c47a1d8
hex3116644d

823551053 has 12 divisors (see below), whose sum is σ = 916447644. Its totient is φ = 735667200.

The previous prime is 823551037. The next prime is 823551083. The reversal of 823551053 is 350155328.

It can be written as a sum of positive squares in 2 ways, for example, as 74269924 + 749281129 = 8618^2 + 27373^2 .

It is not a de Polignac number, because 823551053 - 24 = 823551037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823551013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20468 + ... + 45453.

It is an arithmetic number, because the mean of its divisors is an integer number (76370637).

Almost surely, 2823551053 is an apocalyptic number.

It is an amenable number.

823551053 is a deficient number, since it is larger than the sum of its proper divisors (92896591).

823551053 is a wasteful number, since it uses less digits than its factorization.

823551053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65996 (or 65965 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 823551053 is about 28697.5792184637. The cubic root of 823551053 is about 937.3393347903.

The spelling of 823551053 in words is "eight hundred twenty-three million, five hundred fifty-one thousand, fifty-three".

Divisors: 1 13 31 403 961 12493 65921 856973 2043551 26566163 63350081 823551053