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800088168 = 233115575441
BaseRepresentation
bin101111101100000…
…110000001101000
32001202111200122010
4233230012001220
53114310310133
6211220355520
725553431365
oct5754060150
92052450563
10800088168
113806a10a0
121a3b45ba0
13c99b4069
147838d46c
154a393263
hex2fb06068

800088168 has 64 divisors (see below), whose sum is σ = 2186377920. Its totient is φ = 241971200.

The previous prime is 800088127. The next prime is 800088169. The reversal of 800088168 is 861880008.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (800088169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144328 + ... + 149768.

It is an arithmetic number, because the mean of its divisors is an integer number (34162155).

Almost surely, 2800088168 is an apocalyptic number.

800088168 is a gapful number since it is divisible by the number (88) 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 800088168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093188960).

800088168 is an abundant number, since it is smaller than the sum of its proper divisors (1386289752).

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

800088168 is a wasteful number, since it uses less digits than its factorization.

800088168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 800088168 is about 28285.8298092879. The cubic root of 800088168 is about 928.3518687701.

The spelling of 800088168 in words is "eight hundred million, eighty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 557 1114 1671 2228 3342 4456 5441 6127 6684 10882 12254 13368 16323 18381 21764 24508 32646 36762 43528 49016 59851 65292 73524 119702 130584 147048 179553 239404 359106 478808 718212 1436424 3030637 6061274 9091911 12122548 18183822 24245096 33337007 36367644 66674014 72735288 100011021 133348028 200022042 266696056 400044084 800088168