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808055424 = 27321131731
BaseRepresentation
bin110000001010011…
…111001010000000
32002022111110122200
4300022133022000
53123330233144
6212103233200
726011233501
oct6012371200
92068443580
10808055424
11385143000
121a6748800
13cb543607
1479464ba8
154ae18c69
hex3029f280

808055424 has 384 divisors, whose sum is σ = 2795420160. Its totient is φ = 223027200.

The previous prime is 808055419. The next prime is 808055431. The reversal of 808055424 is 424550808.

808055424 is a `hidden beast` number, since 8 + 0 + 80 + 554 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26066289 + ... + 26066319.

It is an arithmetic number, because the mean of its divisors is an integer number (7279740).

Almost surely, 2808055424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397710080).

808055424 is an abundant number, since it is smaller than the sum of its proper divisors (1987364736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

808055424 is a wasteful number, since it uses less digits than its factorization.

808055424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 808055424 is about 28426.3156951442. The cubic root of 808055424 is about 931.4231972863.

It can be divided in two parts, 8080 and 55424, that added together give a square (63504 = 2522).

The spelling of 808055424 in words is "eight hundred eight million, fifty-five thousand, four hundred twenty-four".