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33780493 is a prime number
BaseRepresentation
bin1000000011011…
…1001100001101
32100120020010101
42000313030031
532121433433
63204011101
7560062255
oct200671415
970506111
1033780493
111808286a
12b390a91
136cc9976
1446b4965
152e7407d
hex203730d

33780493 has 2 divisors, whose sum is σ = 33780494. Its totient is φ = 33780492.

The previous prime is 33780473. The next prime is 33780503. The reversal of 33780493 is 39408733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17280649 + 16499844 = 4157^2 + 4062^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33780493 is a prime.

It is a super-2 number, since 2×337804932 = 2282243414646098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33780403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16890246 + 16890247.

It is an arithmetic number, because the mean of its divisors is an integer number (16890247).

Almost surely, 233780493 is an apocalyptic number.

It is an amenable number.

33780493 is a deficient number, since it is larger than the sum of its proper divisors (1).

33780493 is an equidigital number, since it uses as much as digits as its factorization.

33780493 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 33780493 is about 5812.0988463721. The cubic root of 33780493 is about 323.2625003964.

The spelling of 33780493 in words is "thirty-three million, seven hundred eighty thousand, four hundred ninety-three".