Search a number
-
+
457098137 is a prime number
BaseRepresentation
bin11011001111101…
…100001110011001
31011212002222202122
4123033230032121
51414004120022
6113205111025
714220161426
oct3317541631
91155088678
10457098137
11215024661
121090b8475
1373913792
14449c8d4d
152a1e1742
hex1b3ec399

457098137 has 2 divisors, whose sum is σ = 457098138. Its totient is φ = 457098136.

The previous prime is 457098119. The next prime is 457098157. The reversal of 457098137 is 731890754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 411116176 + 45981961 = 20276^2 + 6781^2 .

It is a cyclic number.

It is not a de Polignac number, because 457098137 - 26 = 457098073 is a prime.

It is not a weakly prime, because it can be changed into another prime (457098157) 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 as a sum of consecutive naturals, namely, 228549068 + 228549069.

It is an arithmetic number, because the mean of its divisors is an integer number (228549069).

Almost surely, 2457098137 is an apocalyptic number.

It is an amenable number.

457098137 is a deficient number, since it is larger than the sum of its proper divisors (1).

457098137 is an equidigital number, since it uses as much as digits as its factorization.

457098137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 457098137 is about 21379.8535308360. The cubic root of 457098137 is about 770.3175937303.

The spelling of 457098137 in words is "four hundred fifty-seven million, ninety-eight thousand, one hundred thirty-seven".