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806030253 = 32721827733
BaseRepresentation
bin110000000010110…
…000101110101101
32002011200120122100
4300002300232231
53122320432003
6211552005313
725655100300
oct6002605655
92064616570
10806030253
11383a8a506
121a5b30839
13cacb48a2
1479098b37
154ab68ba3
hex300b0bad

806030253 has 18 divisors (see below), whose sum is σ = 1354350894. Its totient is φ = 460588464.

The previous prime is 806030233. The next prime is 806030297. The reversal of 806030253 is 352030608.

806030253 is a `hidden beast` number, since 8 + 0 + 603 + 0 + 2 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 576144009 + 229886244 = 24003^2 + 15162^2 .

It is not a de Polignac number, because 806030253 - 26 = 806030189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806030233) 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 17 ways as a sum of consecutive naturals, for example, 913426 + ... + 914307.

Almost surely, 2806030253 is an apocalyptic number.

It is an amenable number.

806030253 is a deficient number, since it is larger than the sum of its proper divisors (548320641).

806030253 is a wasteful number, since it uses less digits than its factorization.

806030253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827753 (or 1827743 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 806030253 is about 28390.6719363949. The cubic root of 806030253 is about 930.6444267487.

The spelling of 806030253 in words is "eight hundred six million, thirty thousand, two hundred fifty-three".

Divisors: 1 3 7 9 21 49 63 147 441 1827733 5483199 12794131 16449597 38382393 89558917 115147179 268676751 806030253