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78018241 = 729971597
BaseRepresentation
bin1001010011001…
…11011011000001
312102210201220111
410221213123001
5124433040431
611424111321
71635100300
oct451473301
9172721814
1078018241
1140048294
1222165541
1313218352
14a50c437
156cb17b1
hex4a676c1

78018241 has 12 divisors (see below), whose sum is σ = 90903828. Its totient is φ = 66763872.

The previous prime is 78018197. The next prime is 78018247. The reversal of 78018241 is 14281087.

It can be written as a sum of positive squares in 2 ways, for example, as 42198016 + 35820225 = 6496^2 + 5985^2 .

It is not a de Polignac number, because 78018241 - 27 = 78018113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78018247) 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 11 ways as a sum of consecutive naturals, for example, 48055 + ... + 49651.

It is an arithmetic number, because the mean of its divisors is an integer number (7575319).

Almost surely, 278018241 is an apocalyptic number.

It is an amenable number.

78018241 is a deficient number, since it is larger than the sum of its proper divisors (12885587).

78018241 is a wasteful number, since it uses less digits than its factorization.

78018241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 78018241 is about 8832.7934992277. The cubic root of 78018241 is about 427.2991722263.

The spelling of 78018241 in words is "seventy-eight million, eighteen thousand, two hundred forty-one".

Divisors: 1 7 49 997 1597 6979 11179 48853 78253 1592209 11145463 78018241