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800008041 = 37311228891
BaseRepresentation
bin101111101011110…
…010011101101001
32001202100121201110
4233223302131221
53114300224131
6211214540533
725552645650
oct5753623551
92052317643
10800008041
11380646978
121a3b07749
13c9986751
147836c197
154a379646
hex2faf2769

800008041 has 16 divisors (see below), whose sum is σ = 1258385408. Its totient is φ = 442400400.

The previous prime is 800007997. The next prime is 800008051. The reversal of 800008041 is 140800008.

It is not a de Polignac number, because 800008041 - 29 = 800007529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 800007999 and 800008017.

It is not an unprimeable number, because it can be changed into a prime (800008051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613795 + ... + 615096.

It is an arithmetic number, because the mean of its divisors is an integer number (78649088).

Almost surely, 2800008041 is an apocalyptic number.

It is an amenable number.

800008041 is a deficient number, since it is larger than the sum of its proper divisors (458377367).

800008041 is a wasteful number, since it uses less digits than its factorization.

800008041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228932.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 800008041 is about 28284.4133932454. The cubic root of 800008041 is about 928.3208769635.

Adding to 800008041 its reverse (140800008), we get a palindrome (940808049).

The spelling of 800008041 in words is "eight hundred million, eight thousand, forty-one".

Divisors: 1 3 7 21 31 93 217 651 1228891 3686673 8602237 25806711 38095621 114286863 266669347 800008041