Search a number
-
+
48288413 is a prime number
BaseRepresentation
bin1011100000110…
…1001010011101
310100212022020202
42320031022131
544330212123
64442553245
71124305355
oct270151235
9110768222
1048288413
1125291888
1214208825
13a009334
1465adb65
15438ca28
hex2e0d29d

48288413 has 2 divisors, whose sum is σ = 48288414. Its totient is φ = 48288412.

The previous prime is 48288371. The next prime is 48288419. The reversal of 48288413 is 31488284.

48288413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46758244 + 1530169 = 6838^2 + 1237^2 .

It is a cyclic number.

It is not a de Polignac number, because 48288413 - 210 = 48287389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48288419) 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 as a sum of consecutive naturals, namely, 24144206 + 24144207.

It is an arithmetic number, because the mean of its divisors is an integer number (24144207).

Almost surely, 248288413 is an apocalyptic number.

It is an amenable number.

48288413 is a deficient number, since it is larger than the sum of its proper divisors (1).

48288413 is an equidigital number, since it uses as much as digits as its factorization.

48288413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49152, while the sum is 38.

The square root of 48288413 is about 6948.9864728606. The cubic root of 48288413 is about 364.1505561025.

The spelling of 48288413 in words is "forty-eight million, two hundred eighty-eight thousand, four hundred thirteen".