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78349005 = 3357174877
BaseRepresentation
bin1001010101110…
…00001011001101
312110102112122000
410222320023031
5130024132010
611435142513
71640645520
oct452701315
9173375560
1078349005
1140253849
12222a4a39
1313302a77
14a596bb7
156d297c0
hex4ab82cd

78349005 has 64 divisors (see below), whose sum is σ = 168583680. Its totient is φ = 33702912.

The previous prime is 78349001. The next prime is 78349009. The reversal of 78349005 is 50094387.

It is an interprime number because it is at equal distance from previous prime (78349001) and next prime (78349009).

It is not a de Polignac number, because 78349005 - 22 = 78349001 is a prime.

It is a super-2 number, since 2×783490052 = 12277133168980050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78349001) 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 in 63 ways as a sum of consecutive naturals, for example, 13627 + ... + 18503.

It is an arithmetic number, because the mean of its divisors is an integer number (2634120).

Almost surely, 278349005 is an apocalyptic number.

It is an amenable number.

78349005 is an abundant number, since it is smaller than the sum of its proper divisors (90234675).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78349005 is a wasteful number, since it uses less digits than its factorization.

78349005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 78349005 is about 8851.4973309605. The cubic root of 78349005 is about 427.9021761611.

The spelling of 78349005 in words is "seventy-eight million, three hundred forty-nine thousand, five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 255 315 357 459 595 765 945 1071 1785 2295 3213 4877 5355 14631 16065 24385 34139 43893 73155 82909 102417 131679 170695 219465 248727 307251 414545 512085 580363 658395 746181 921753 1243635 1536255 1741089 2238543 2901815 3730905 4608765 5223267 8705445 11192715 15669801 26116335 78349005