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800476313 = 71364113723
BaseRepresentation
bin101111101101100…
…100110010011001
32001210020102001212
4233231210302121
53114410220223
6211232552505
725556636120
oct5755446231
92053212055
10800476313
1138093677a
121a40b2735
13c9abb930
1478450ab7
154a41d278
hex2fb64c99

800476313 has 16 divisors (see below), whose sum is σ = 986810496. Its totient is φ = 632309760.

The previous prime is 800476273. The next prime is 800476321. The reversal of 800476313 is 313674008.

It is a cyclic number.

It is not a de Polignac number, because 800476313 - 210 = 800475289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 800476313.

It is not an unprimeable number, because it can be changed into a prime (800476373) 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, 51470 + ... + 65192.

It is an arithmetic number, because the mean of its divisors is an integer number (61675656).

Almost surely, 2800476313 is an apocalyptic number.

It is an amenable number.

800476313 is a deficient number, since it is larger than the sum of its proper divisors (186334183).

800476313 is a wasteful number, since it uses less digits than its factorization.

800476313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 800476313 is about 28292.6900983275. The cubic root of 800476313 is about 928.5019675954.

The spelling of 800476313 in words is "eight hundred million, four hundred seventy-six thousand, three hundred thirteen".

Divisors: 1 7 13 91 641 4487 8333 13723 58331 96061 178399 1248793 8796443 61575101 114353759 800476313