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800146839 = 32379229641
BaseRepresentation
bin101111101100010…
…100010110010111
32001202121200010010
4233230110112113
53114314144324
6211221531303
725554064422
oct5754242627
92052550103
10800146839
11380731188
121a3b73b33
13c9a0498b
14783a69b9
154a3a5829
hex2fb14597

800146839 has 32 divisors (see below), whose sum is σ = 1134028800. Its totient is φ = 500797440.

The previous prime is 800146813. The next prime is 800146861. The reversal of 800146839 is 938641008.

It is not a de Polignac number, because 800146839 - 221 = 798049687 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 800146797 and 800146806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800146339) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1247959 + ... + 1248599.

It is an arithmetic number, because the mean of its divisors is an integer number (35438400).

Almost surely, 2800146839 is an apocalyptic number.

800146839 is a deficient number, since it is larger than the sum of its proper divisors (333881961).

800146839 is a wasteful number, since it uses less digits than its factorization.

800146839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 800146839 is about 28286.8668996763. The cubic root of 800146839 is about 928.3745604365.

The spelling of 800146839 in words is "eight hundred million, one hundred forty-six thousand, eight hundred thirty-nine".

Divisors: 1 3 23 69 79 229 237 641 687 1817 1923 5267 5451 14743 15801 18091 44229 50639 54273 146789 151917 416093 440367 1164697 1248279 3376147 3494091 10128441 11596331 34788993 266715613 800146839