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805623047 = 17219236379
BaseRepresentation
bin110000000001001…
…101010100000111
32002010220220001122
4300001031110013
53122214414142
6211535144155
725651453145
oct6001152407
92063826048
10805623047
11383831579
121a597505b
13caba1438
1478dd0595
154aad81d2
hex3004d507

805623047 has 24 divisors (see below), whose sum is σ = 940156800. Its totient is φ = 686987136.

The previous prime is 805623023. The next prime is 805623053. The reversal of 805623047 is 740326508.

It is a happy number.

It is not a de Polignac number, because 805623047 - 210 = 805622023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 805622998 and 805623016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805623097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123104 + ... + 129482.

It is an arithmetic number, because the mean of its divisors is an integer number (39173200).

Almost surely, 2805623047 is an apocalyptic number.

805623047 is a deficient number, since it is larger than the sum of its proper divisors (134533753).

805623047 is a wasteful number, since it uses less digits than its factorization.

805623047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 805623047 is about 28383.4995551993. The cubic root of 805623047 is about 930.4876800144.

The spelling of 805623047 in words is "eight hundred five million, six hundred twenty-three thousand, forty-seven".

Divisors: 1 17 19 23 289 323 391 437 5491 6379 6647 7429 108443 121201 126293 146717 1843531 2060417 2494189 2787623 35027089 42401213 47389591 805623047