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7968271 = 31401641
BaseRepresentation
bin11110011001011000001111
3112222211102011
4132121120033
54014441041
6442442051
7124505053
oct36313017
915884364
107968271
114552753
122803327
13185cb6c
1410b5c63
15a75e81
hex79960f

7968271 has 8 divisors (see below), whose sum is σ = 8258688. Its totient is φ = 7680000.

The previous prime is 7968229. The next prime is 7968299. The reversal of 7968271 is 1728697.

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

It is a 12-Lehmer number, since φ(7968271) divides (7968271-1)12.

It is a cyclic number.

It is not a de Polignac number, because 7968271 - 213 = 7960079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968871) 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 7 ways as a sum of consecutive naturals, for example, 12111 + ... + 12751.

It is an arithmetic number, because the mean of its divisors is an integer number (1032336).

Almost surely, 27968271 is an apocalyptic number.

7968271 is a deficient number, since it is larger than the sum of its proper divisors (290417).

7968271 is a wasteful number, since it uses less digits than its factorization.

7968271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073.

The product of its digits is 42336, while the sum is 40.

The square root of 7968271 is about 2822.8126044780. The cubic root of 7968271 is about 199.7352413356.

The spelling of 7968271 in words is "seven million, nine hundred sixty-eight thousand, two hundred seventy-one".

Divisors: 1 31 401 641 12431 19871 257041 7968271