Search a number
-
+
7242882427 = 115397211607
BaseRepresentation
bin1101011111011010…
…11001110101111011
3200200202202112211201
412233231121311323
5104313134214202
63154412035031
7344325325204
oct65755316573
920622675751
107242882427
113087466850
1214a1762a77
138b5725a61
144c9d025ab
152c5ce4387
hex1afb59d7b

7242882427 has 32 divisors (see below), whose sum is σ = 8185411584. Its totient is φ = 6352819200.

The previous prime is 7242882341. The next prime is 7242882433.

7242882427 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7242882427 - 27 = 7242882299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7242882527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11931958 + ... + 11932564.

It is an arithmetic number, because the mean of its divisors is an integer number (255794112).

Almost surely, 27242882427 is an apocalyptic number.

7242882427 is a deficient number, since it is larger than the sum of its proper divisors (942529157).

7242882427 is a wasteful number, since it uses less digits than its factorization.

7242882427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979.

The product of its digits is 802816, while the sum is 46.

The square root of 7242882427 is about 85105.1257387004. The cubic root of 7242882427 is about 1934.8047509349.

The spelling of 7242882427 in words is "seven billion, two hundred forty-two million, eight hundred eighty-two thousand, four hundred twenty-seven".

Divisors: 1 11 53 97 211 583 607 1067 2321 5141 6677 11183 20467 32171 56551 58879 123013 128077 225137 353881 647669 1084751 1408847 3120587 6788081 11932261 12423469 34326457 74668891 136658159 658443857 7242882427