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802464047 = 71131336181
BaseRepresentation
bin101111110101001…
…010000100101111
32001220222101201122
4233311022010233
53120412322142
6211343331155
725612555220
oct5765120457
92056871648
10802464047
11381a74130
121a48b0abb
13ca3365c8
147880b247
154a6b21d2
hex2fd4a12f

802464047 has 16 divisors (see below), whose sum is σ = 1032751104. Its totient is φ = 605124000.

The previous prime is 802464037. The next prime is 802464049. The reversal of 802464047 is 740464208.

It is a cyclic number.

It is not a de Polignac number, because 802464047 - 214 = 802447663 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 802463998 and 802464016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802464049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165704 + ... + 170477.

It is an arithmetic number, because the mean of its divisors is an integer number (64546944).

Almost surely, 2802464047 is an apocalyptic number.

802464047 is a deficient number, since it is larger than the sum of its proper divisors (230287057).

802464047 is a wasteful number, since it uses less digits than its factorization.

802464047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336230.

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 802464047 is about 28327.7963668196. The cubic root of 802464047 is about 929.2698809547.

The spelling of 802464047 in words is "eight hundred two million, four hundred sixty-four thousand, forty-seven".

Divisors: 1 7 11 31 77 217 341 2387 336181 2353267 3697991 10421611 25885937 72951277 114637721 802464047