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813052692 = 223222584797
BaseRepresentation
bin110000011101100…
…011001100010100
32002122220100121200
4300131203030110
53131120141232
6212402312500
726101556004
oct6035431424
92078810550
10813052692
11387a46581
121a8358730
13cc5a308a
1479da6004
154b5a477c
hex30763314

813052692 has 18 divisors (see below), whose sum is σ = 2055216618. Its totient is φ = 271017552.

The previous prime is 813052663. The next prime is 813052697. The reversal of 813052692 is 296250318.

It can be written as a sum of positive squares in only one way, i.e., 698862096 + 114190596 = 26436^2 + 10686^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×8130526922 = 1322109359936893728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 22584797 = 813052692 / (8 + 1 + 3 + 0 + 5 + 2 + 6 + 9 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813052697) 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 5 ways as a sum of consecutive naturals, for example, 11292363 + ... + 11292434.

It is an arithmetic number, because the mean of its divisors is an integer number (114178701).

Almost surely, 2813052692 is an apocalyptic number.

It is an amenable number.

813052692 is an abundant number, since it is smaller than the sum of its proper divisors (1242163926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813052692 is a wasteful number, since it uses less digits than its factorization.

813052692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22584807 (or 22584802 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 813052692 is about 28514.0788383563. The cubic root of 813052692 is about 933.3393237144.

The spelling of 813052692 in words is "eight hundred thirteen million, fifty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 22584797 45169594 67754391 90339188 135508782 203263173 271017564 406526346 813052692