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800006768 = 241110344131
BaseRepresentation
bin101111101011110…
…010001001110000
32001202100112222022
4233223302021300
53114300204033
6211214531012
725552642151
oct5753621160
92052315868
10800006768
11380645a20
121a3b06a68
13c9985cb2
147836b928
154a379098
hex2faf2270

800006768 has 40 divisors (see below), whose sum is σ = 1707378816. Its totient is φ = 360100800.

The previous prime is 800006741. The next prime is 800006773. The reversal of 800006768 is 867600008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3938 + ... + 40193.

Almost surely, 2800006768 is an apocalyptic number.

800006768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

800006768 is an abundant number, since it is smaller than the sum of its proper divisors (907372048).

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

800006768 is a wasteful number, since it uses less digits than its factorization.

800006768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44253 (or 44247 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 800006768 is about 28284.3908896762. The cubic root of 800006768 is about 928.3203845713.

It can be divided in two parts, 80000 and 6768, that added together give a palindrome (86768).

The spelling of 800006768 in words is "eight hundred million, six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 824 1133 1648 2266 4532 9064 18128 44131 88262 176524 353048 485441 706096 970882 1941764 3883528 4545493 7767056 9090986 18181972 36363944 50000423 72727888 100000846 200001692 400003384 800006768