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78368405 = 53721072
BaseRepresentation
bin1001010101111…
…00111010010101
312110110112020112
410222330322111
5130030242110
611435412405
71641056213
oct452747225
9173415215
1078368405
1140267385
12222b4105
131330b84b
14a59dcb3
156d30405
hex4abce95

78368405 has 18 divisors (see below), whose sum is σ = 97564194. Its totient is φ = 60430176.

The previous prime is 78368401. The next prime is 78368413. The reversal of 78368405 is 50486387.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 38514436 + 39853969 = 6206^2 + 6313^2 .

It is not a de Polignac number, because 78368405 - 22 = 78368401 is a prime.

It is a super-2 number, since 2×783684052 = 12283213804488050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78368401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 732362 + ... + 732468.

It is an arithmetic number, because the mean of its divisors is an integer number (5420233).

Almost surely, 278368405 is an apocalyptic number.

It is an amenable number.

78368405 is a deficient number, since it is larger than the sum of its proper divisors (19195789).

78368405 is an equidigital number, since it uses as much as digits as its factorization.

78368405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 78368405 is about 8852.5931229217. The cubic root of 78368405 is about 427.9374908710.

The spelling of 78368405 in words is "seventy-eight million, three hundred sixty-eight thousand, four hundred five".

Divisors: 1 5 37 107 185 535 1369 3959 6845 11449 19795 57245 146483 423613 732415 2118065 15673681 78368405