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808000 = 2653101
BaseRepresentation
bin11000101010001000000
31112001100221
43011101000
5201324000
625152424
76603454
oct3052100
91461327
10808000
11502076
1232b714
13223a0b
14170664
1510e61a
hexc5440

808000 has 56 divisors (see below), whose sum is σ = 2020824. Its totient is φ = 320000.

The previous prime is 807997. The next prime is 808019. The reversal of 808000 is 808.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 802816 = 72^2 + 896^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7950 + ... + 8050.

2808000 is an apocalyptic number.

808000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010412).

808000 is an abundant number, since it is smaller than the sum of its proper divisors (1212824).

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

808000 is a wasteful number, since it uses less digits than its factorization.

808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 808000 is about 898.8882021698. Note that the first 3 decimals coincide. The cubic root of 808000 is about 93.1401901561.

Adding to 808000 its reverse (808), we get a palindrome (808808).

808000 divided by its reverse (808) gives a cube (1000 = 103).

It can be divided in two parts, 80 and 8000, that multiplied together give a square (640000 = 8002).

The spelling of 808000 in words is "eight hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 800 808 1000 1010 1600 1616 2000 2020 2525 3232 4000 4040 5050 6464 8000 8080 10100 12625 16160 20200 25250 32320 40400 50500 80800 101000 161600 202000 404000 808000