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78066431 = 1713933037
BaseRepresentation
bin1001010011100…
…11001011111111
312102220012000022
410221303023333
5124441111211
611425122355
71635360632
oct451631377
9172805008
1078066431
1140080513
12221893bb
1313234271
14a521c19
156cc0bdb
hex4a732ff

78066431 has 8 divisors (see below), whose sum is σ = 83255760. Its totient is φ = 72943488.

The previous prime is 78066379. The next prime is 78066449. The reversal of 78066431 is 13466087.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 78066431 - 26 = 78066367 is a prime.

It is a super-2 number, since 2×780664312 = 12188735298155522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 78066391 and 78066400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78066491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14156 + ... + 18881.

It is an arithmetic number, because the mean of its divisors is an integer number (10406970).

Almost surely, 278066431 is an apocalyptic number.

78066431 is a deficient number, since it is larger than the sum of its proper divisors (5189329).

78066431 is a wasteful number, since it uses less digits than its factorization.

78066431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33193.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 78066431 is about 8835.5209806779. The cubic root of 78066431 is about 427.3871316089.

The spelling of 78066431 in words is "seventy-eight million, sixty-six thousand, four hundred thirty-one".

Divisors: 1 17 139 2363 33037 561629 4592143 78066431