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8000413 is a prime number
BaseRepresentation
bin11110100001001110011101
3120001110111121
4132201032131
54022003123
6443250541
7125000551
oct36411635
916043447
108000413
114574913
122819a51
131871695
1410c3861
15a8075d
hex7a139d

8000413 has 2 divisors, whose sum is σ = 8000414. Its totient is φ = 8000412.

The previous prime is 8000411. The next prime is 8000431. The reversal of 8000413 is 3140008.

Together with next prime (8000431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5184729 + 2815684 = 2277^2 + 1678^2 .

It is a cyclic number.

It is not a de Polignac number, because 8000413 - 21 = 8000411 is a prime.

Together with 8000411, it forms a pair of twin primes.

It is the 2829-th Hogben number.

8000413 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8000411) by changing a digit.

It is a nontrivial repunit in base 2828.

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, 4000206 + 4000207.

It is an arithmetic number, because the mean of its divisors is an integer number (4000207).

Almost surely, 28000413 is an apocalyptic number.

It is an amenable number.

8000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000413 is an equidigital number, since it uses as much as digits as its factorization.

8000413 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 8000413 is about 2828.5001325791. The cubic root of 8000413 is about 200.0034416074.

The spelling of 8000413 in words is "eight million, four hundred thirteen", and thus it is an aban number.