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61238033 is a prime number
BaseRepresentation
bin1110100110011…
…0101100010001
311021020012210022
43221212230101
5111134104113
610024313225
71342341353
oct351465421
9137205708
1061238033
113162704a
1218612815
13c8c162c
1481c10d3
155599908
hex3a66b11

61238033 has 2 divisors, whose sum is σ = 61238034. Its totient is φ = 61238032.

The previous prime is 61237993. The next prime is 61238059. The reversal of 61238033 is 33083216.

61238033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (61238059) can be obtained adding 61238033 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35664784 + 25573249 = 5972^2 + 5057^2 .

It is a cyclic number.

It is not a de Polignac number, because 61238033 - 214 = 61221649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61237993 and 61238011.

It is not a weakly prime, because it can be changed into another prime (61238833) 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, 30619016 + 30619017.

It is an arithmetic number, because the mean of its divisors is an integer number (30619017).

Almost surely, 261238033 is an apocalyptic number.

It is an amenable number.

61238033 is a deficient number, since it is larger than the sum of its proper divisors (1).

61238033 is an equidigital number, since it uses as much as digits as its factorization.

61238033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 61238033 is about 7825.4733403162. The cubic root of 61238033 is about 394.1610844672.

The spelling of 61238033 in words is "sixty-one million, two hundred thirty-eight thousand, thirty-three".