Search a number
-
+
800010008 = 23729492617
BaseRepresentation
bin101111101011110…
…010111100011000
32001202100201102022
4233223302330120
53114300310013
6211214554012
725552654460
oct5753627430
92052321368
10800010008
113806483a6
121a3b08908
13c9987605
147836cba0
154a37a008
hex2faf2f18

800010008 has 32 divisors (see below), whose sum is σ = 1773424800. Its totient is φ = 331037952.

The previous prime is 800010007. The next prime is 800010097.

It is a happy number.

800010008 is nontrivially palindromic in base 10.

800010008 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800010007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244685 + ... + 247932.

It is an arithmetic number, because the mean of its divisors is an integer number (55419525).

Almost surely, 2800010008 is an apocalyptic number.

It is an amenable number.

800010008 is an abundant number, since it is smaller than the sum of its proper divisors (973414792).

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

800010008 is a wasteful number, since it uses less digits than its factorization.

800010008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492659 (or 492655 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 800010008 is about 28284.4481650252. The cubic root of 800010008 is about 928.3216377915.

The spelling of 800010008 in words is "eight hundred million, ten thousand, eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 492617 985234 1970468 3448319 3940936 6896638 13793276 14285893 27586552 28571786 57143572 100001251 114287144 200002502 400005004 800010008