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80004013 is a prime number
BaseRepresentation
bin1001100010011…
…00001110101101
312120112121212121
410301030032231
5130440112023
611534432541
71661010565
oct461141655
9176477777
1080004013
1141184221
1222962751
131376216b
14a8a7da5
157054d5d
hex4c4c3ad

80004013 has 2 divisors, whose sum is σ = 80004014. Its totient is φ = 80004012.

The previous prime is 80003999. The next prime is 80004053. The reversal of 80004013 is 31040008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52157284 + 27846729 = 7222^2 + 5277^2 .

It is a cyclic number.

It is not a de Polignac number, because 80004013 - 29 = 80003501 is a prime.

It is a super-2 number, since 2×800040132 = 12801284192208338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (80004053) 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 as a sum of consecutive naturals, namely, 40002006 + 40002007.

It is an arithmetic number, because the mean of its divisors is an integer number (40002007).

Almost surely, 280004013 is an apocalyptic number.

It is an amenable number.

80004013 is a deficient number, since it is larger than the sum of its proper divisors (1).

80004013 is an equidigital number, since it uses as much as digits as its factorization.

80004013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 80004013 is about 8944.4962407058. The cubic root of 80004013 is about 430.8941426746.

The spelling of 80004013 in words is "eighty million, four thousand, thirteen".