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78362016 = 253816271
BaseRepresentation
bin1001010101110…
…11010110100000
312110110012110220
410222323112200
5130030041031
611435323040
71641031455
oct452732640
9173405426
1078362016
11402625a7
12222b0480
1313308975
14a59b82c
156d2d596
hex4abb5a0

78362016 has 24 divisors (see below), whose sum is σ = 205700544. Its totient is φ = 26120640.

The previous prime is 78361999. The next prime is 78362033. The reversal of 78362016 is 61026387.

It is an interprime number because it is at equal distance from previous prime (78361999) and next prime (78362033).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×783620162 = 12281211103168512, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 408040 + ... + 408231.

It is an arithmetic number, because the mean of its divisors is an integer number (8570856).

Almost surely, 278362016 is an apocalyptic number.

It is an amenable number.

78362016 is an abundant number, since it is smaller than the sum of its proper divisors (127338528).

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

78362016 is a wasteful number, since it uses less digits than its factorization.

78362016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816284 (or 816276 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 78362016 is about 8852.2322608481. The cubic root of 78362016 is about 427.9258613249.

The spelling of 78362016 in words is "seventy-eight million, three hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 816271 1632542 2448813 3265084 4897626 6530168 9795252 13060336 19590504 26120672 39181008 78362016