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808401 = 311217131
BaseRepresentation
bin11000101010111010001
31112001220210
43011113101
5201332101
625154333
76604566
oct3052721
91461823
10808401
11502400
1232b9a9
13223c59
1417086d
1510e7d6
hexc55d1

808401 has 24 divisors (see below), whose sum is σ = 1264032. Its totient is φ = 457600.

The previous prime is 808399. The next prime is 808417. The reversal of 808401 is 104808.

808401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 808401 - 21 = 808399 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 808401.

It is not an unprimeable number, because it can be changed into a prime (808421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6106 + ... + 6236.

It is an arithmetic number, because the mean of its divisors is an integer number (52668).

2808401 is an apocalyptic number.

It is an amenable number.

808401 is a deficient number, since it is larger than the sum of its proper divisors (455631).

808401 is a wasteful number, since it uses less digits than its factorization.

808401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 808401 is about 899.1112278245. Note that the first 3 decimals coincide. The cubic root of 808401 is about 93.1555957003.

The spelling of 808401 in words is "eight hundred eight thousand, four hundred one".

Divisors: 1 3 11 17 33 51 121 131 187 363 393 561 1441 2057 2227 4323 6171 6681 15851 24497 47553 73491 269467 808401