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47420833 is a prime number
BaseRepresentation
bin1011010011100…
…1010110100001
310022020020011011
42310321112201
544114431313
64412220521
71114033105
oct264712641
9108206134
1047420833
1124849a79
1213a6a741
139a94485
146425905
15426a93d
hex2d395a1

47420833 has 2 divisors, whose sum is σ = 47420834. Its totient is φ = 47420832.

The previous prime is 47420831. The next prime is 47420839. The reversal of 47420833 is 33802474.

It is a happy number.

47420833 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., 28654609 + 18766224 = 5353^2 + 4332^2 .

It is a cyclic number.

It is not a de Polignac number, because 47420833 - 21 = 47420831 is a prime.

Together with 47420831, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 47420795 and 47420804.

It is not a weakly prime, because it can be changed into another prime (47420831) 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, 23710416 + 23710417.

It is an arithmetic number, because the mean of its divisors is an integer number (23710417).

Almost surely, 247420833 is an apocalyptic number.

It is an amenable number.

47420833 is a deficient number, since it is larger than the sum of its proper divisors (1).

47420833 is an equidigital number, since it uses as much as digits as its factorization.

47420833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 47420833 is about 6886.2786031354. The cubic root of 47420833 is about 361.9565106532.

The spelling of 47420833 in words is "forty-seven million, four hundred twenty thousand, eight hundred thirty-three".