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33048973 is a prime number
BaseRepresentation
bin111111000010…
…0100110001101
32022012001200001
41332010212031
531430031343
63140204301
7550624456
oct176044615
968161601
1033048973
1117723201
12b099691
136b01a09
14456412d
152d7c44d
hex1f8498d

33048973 has 2 divisors, whose sum is σ = 33048974. Its totient is φ = 33048972.

The previous prime is 33048959. The next prime is 33048989. The reversal of 33048973 is 37984033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29615364 + 3433609 = 5442^2 + 1853^2 .

It is an emirp because it is prime and its reverse (37984033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33048973 - 25 = 33048941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33048913) 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, 16524486 + 16524487.

It is an arithmetic number, because the mean of its divisors is an integer number (16524487).

Almost surely, 233048973 is an apocalyptic number.

It is an amenable number.

33048973 is a deficient number, since it is larger than the sum of its proper divisors (1).

33048973 is an equidigital number, since it uses as much as digits as its factorization.

33048973 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 33048973 is about 5748.8236187937. The cubic root of 33048973 is about 320.9120238457.

The spelling of 33048973 in words is "thirty-three million, forty-eight thousand, nine hundred seventy-three".