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78385093 is a prime number
BaseRepresentation
bin1001010110000…
…00111111000101
312110111101010121
410223000333011
5130031310333
611440021541
71641155653
oct453007705
9173441117
1078385093
1140278976
12223018b1
1313316317
14a5a5dd3
156d3532d
hex4ac0fc5

78385093 has 2 divisors, whose sum is σ = 78385094. Its totient is φ = 78385092.

The previous prime is 78385033. The next prime is 78385121. The reversal of 78385093 is 39058387.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51365889 + 27019204 = 7167^2 + 5198^2 .

It is a cyclic number.

It is not a de Polignac number, because 78385093 - 213 = 78376901 is a prime.

It is a super-2 number, since 2×783850932 = 12288445609237298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (78385003) 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, 39192546 + 39192547.

It is an arithmetic number, because the mean of its divisors is an integer number (39192547).

Almost surely, 278385093 is an apocalyptic number.

It is an amenable number.

78385093 is a deficient number, since it is larger than the sum of its proper divisors (1).

78385093 is an equidigital number, since it uses as much as digits as its factorization.

78385093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 78385093 is about 8853.5356214340. The cubic root of 78385093 is about 427.9678641403.

The spelling of 78385093 in words is "seventy-eight million, three hundred eighty-five thousand, ninety-three".