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78384641 is a prime number
BaseRepresentation
bin1001010110000…
…00111000000001
312110111100111212
410223000320001
5130031302031
611440015505
71641154436
oct453007001
9173440455
1078384641
11402785a5
1222301595
131331605a
14a5a5b8d
156d3512b
hex4ac0e01

78384641 has 2 divisors, whose sum is σ = 78384642. Its totient is φ = 78384640.

The previous prime is 78384617. The next prime is 78384653. The reversal of 78384641 is 14648387.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77510416 + 874225 = 8804^2 + 935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-78384641 is a prime.

It is a super-3 number, since 3×783846413 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (78380641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39192320 + 39192321.

It is an arithmetic number, because the mean of its divisors is an integer number (39192321).

Almost surely, 278384641 is an apocalyptic number.

It is an amenable number.

78384641 is a deficient number, since it is larger than the sum of its proper divisors (1).

78384641 is an equidigital number, since it uses as much as digits as its factorization.

78384641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129024, while the sum is 41.

The square root of 78384641 is about 8853.5100948720. The cubic root of 78384641 is about 427.9670415271.

The spelling of 78384641 in words is "seventy-eight million, three hundred eighty-four thousand, six hundred forty-one".