Search a number
-
+
800498880 = 263251914629
BaseRepresentation
bin101111101101101…
…010010011000000
32001210021120000200
4233231222103000
53114411431010
6211233245200
725560061656
oct5755522300
92053246020
10800498880
11380951725
121a4103800
13c9ac8c9c
1478458dd6
154a424cc0
hex2fb6a4c0

800498880 has 168 divisors, whose sum is σ = 2898495600. Its totient is φ = 202217472.

The previous prime is 800498869. The next prime is 800498891. The reversal of 800498880 is 88894008.

800498880 is a `hidden beast` number, since 80 + 0 + 498 + 8 + 80 = 666.

800498880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (800498869) and next prime (800498891).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47406 + ... + 62034.

It is an arithmetic number, because the mean of its divisors is an integer number (17252950).

Almost surely, 2800498880 is an apocalyptic number.

800498880 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 800498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449247800).

800498880 is an abundant number, since it is smaller than the sum of its proper divisors (2097996720).

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

800498880 is a wasteful number, since it uses less digits than its factorization.

800498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14671 (or 14658 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 800498880 is about 28293.0889087777. The cubic root of 800498880 is about 928.5106929450.

The spelling of 800498880 in words is "eight hundred million, four hundred ninety-eight thousand, eight hundred eighty".