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800368041 = 311171678543
BaseRepresentation
bin101111101101001…
…010010110101001
32001210000220112210
4233231022112221
53114343234131
6211230355333
725556005344
oct5755122651
92053026483
10800368041
113808723a0
121a405bb49
13c9a81575
147842345b
154a3eb146
hex2fb4a5a9

800368041 has 32 divisors (see below), whose sum is σ = 1240178688. Its totient is φ = 453751040.

The previous prime is 800368003. The next prime is 800368069. The reversal of 800368041 is 140863008.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 800368041 - 218 = 800105897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (800368001) 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, 89416 + ... + 97958.

It is an arithmetic number, because the mean of its divisors is an integer number (38755584).

Almost surely, 2800368041 is an apocalyptic number.

It is an amenable number.

800368041 is a deficient number, since it is larger than the sum of its proper divisors (439810647).

800368041 is a wasteful number, since it uses less digits than its factorization.

800368041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 800368041 is about 28290.7766065197. The cubic root of 800368041 is about 928.4601028138.

The spelling of 800368041 in words is "eight hundred million, three hundred sixty-eight thousand, forty-one".

Divisors: 1 3 11 17 33 51 167 187 501 561 1837 2839 5511 8517 8543 25629 31229 93687 93973 145231 281919 435693 1426681 1597541 4280043 4792623 15693491 24253577 47080473 72760731 266789347 800368041