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800110026 = 2321916714009
BaseRepresentation
bin101111101100001…
…011010111001010
32001202112210121200
4233230023113022
53114312010101
6211221045030
725553552202
oct5754132712
92052483550
10800110026
11380706561
121a3b56776
13c99c0cb1
1478397402
154a399986
hex2fb0b5ca

800110026 has 48 divisors (see below), whose sum is σ = 1835870400. Its totient is φ = 251135424.

The previous prime is 800110009. The next prime is 800110061. The reversal of 800110026 is 620011008.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 800109990 and 800110008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50110 + ... + 64118.

It is an arithmetic number, because the mean of its divisors is an integer number (38247300).

Almost surely, 2800110026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800110026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917935200).

800110026 is an abundant number, since it is smaller than the sum of its proper divisors (1035760374).

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

800110026 is a wasteful number, since it uses less digits than its factorization.

800110026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14203 (or 14200 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 800110026 is about 28286.2161838589. The cubic root of 800110026 is about 928.3603227261.

It can be divided in two parts, 80011002 and 6, that added together give a palindrome (80011008).

The spelling of 800110026 in words is "eight hundred million, one hundred ten thousand, twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 167 171 334 342 501 1002 1503 3006 3173 6346 9519 14009 19038 28018 28557 42027 57114 84054 126081 252162 266171 532342 798513 1597026 2339503 2395539 4679006 4791078 7018509 14037018 21055527 42111054 44450557 88901114 133351671 266703342 400055013 800110026