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968037427 = 7475715153
BaseRepresentation
bin111001101100110…
…001010000110011
32111110112101201001
4321230301100303
53440304144202
6240020222431
732663116360
oct7154612063
92443471631
10968037427
11457482935
1223023aa17
13125728b16
14927cb467
1559ebad87
hex39b31433

968037427 has 16 divisors (see below), whose sum is σ = 1132065792. Its totient is φ = 810512640.

The previous prime is 968037353. The next prime is 968037431. The reversal of 968037427 is 724730869.

968037427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-968037427 is a prime.

It is a super-3 number, since 3×9680374273 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968037127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185283 + ... + 190435.

It is an arithmetic number, because the mean of its divisors is an integer number (70754112).

Almost surely, 2968037427 is an apocalyptic number.

968037427 is a deficient number, since it is larger than the sum of its proper divisors (164028365).

968037427 is a wasteful number, since it uses less digits than its factorization.

968037427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778.

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 968037427 is about 31113.2998410648. The cubic root of 968037427 is about 989.2302376049.

The spelling of 968037427 in words is "nine hundred sixty-eight million, thirty-seven thousand, four hundred twenty-seven".

Divisors: 1 7 47 329 571 3997 5153 26837 36071 187859 242191 1695337 2942363 20596541 138291061 968037427