Search a number
-
+
47398033 is a prime number
BaseRepresentation
bin1011010011001…
…1110010010001
310022012001212201
42310303302101
544113214113
64411523201
71113606454
oct264636221
9108161781
1047398033
1124833931
1213a59501
139a86c97
14641b49b
154263cdd
hex2d33c91

47398033 has 2 divisors, whose sum is σ = 47398034. Its totient is φ = 47398032.

The previous prime is 47398031. The next prime is 47398049. The reversal of 47398033 is 33089374.

47398033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28804689 + 18593344 = 5367^2 + 4312^2 .

It is a cyclic number.

It is not a de Polignac number, because 47398033 - 21 = 47398031 is a prime.

Together with 47398031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 47397983 and 47398001.

It is not a weakly prime, because it can be changed into another prime (47398031) 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, 23699016 + 23699017.

It is an arithmetic number, because the mean of its divisors is an integer number (23699017).

Almost surely, 247398033 is an apocalyptic number.

It is an amenable number.

47398033 is a deficient number, since it is larger than the sum of its proper divisors (1).

47398033 is an equidigital number, since it uses as much as digits as its factorization.

47398033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 47398033 is about 6884.6229381136. The cubic root of 47398033 is about 361.8984916287.

The spelling of 47398033 in words is "forty-seven million, three hundred ninety-eight thousand, thirty-three".