Search a number
-
+
47872529 is a prime number
BaseRepresentation
bin1011011010011…
…1101000010001
310100002011202122
42312213220101
544223410104
64430024025
71120624025
oct266475021
9110064678
1047872529
1125028381
1214048015
139bc1c53
146502385
1543096be
hex2da7a11

47872529 has 2 divisors, whose sum is σ = 47872530. Its totient is φ = 47872528.

The previous prime is 47872483. The next prime is 47872537. The reversal of 47872529 is 92527874.

47872529 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., 44890000 + 2982529 = 6700^2 + 1727^2 .

It is a cyclic number.

It is not a de Polignac number, because 47872529 - 224 = 31095313 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 47872529.

It is not a weakly prime, because it can be changed into another prime (47872589) 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, 23936264 + 23936265.

It is an arithmetic number, because the mean of its divisors is an integer number (23936265).

Almost surely, 247872529 is an apocalyptic number.

It is an amenable number.

47872529 is a deficient number, since it is larger than the sum of its proper divisors (1).

47872529 is an equidigital number, since it uses as much as digits as its factorization.

47872529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 282240, while the sum is 44.

The square root of 47872529 is about 6918.9976875267. The cubic root of 47872529 is about 363.1021247821.

The spelling of 47872529 in words is "forty-seven million, eight hundred seventy-two thousand, five hundred twenty-nine".