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45001829 is a prime number
BaseRepresentation
bin1010101110101…
…0110001100101
310010200022220102
42223222301211
543010024304
64244313445
71054336445
oct253526145
9103608812
1045001829
11234475a4
12130a2885
139428402
145d96125
153e3dd1e
hex2aeac65

45001829 has 2 divisors, whose sum is σ = 45001830. Its totient is φ = 45001828.

The previous prime is 45001819. The next prime is 45001841. The reversal of 45001829 is 92810054.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33373729 + 11628100 = 5777^2 + 3410^2 .

It is a cyclic number.

It is not a de Polignac number, because 45001829 - 24 = 45001813 is a prime.

It is a super-2 number, since 2×450018292 = 4050329226690482, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45001819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22500914 + 22500915.

It is an arithmetic number, because the mean of its divisors is an integer number (22500915).

Almost surely, 245001829 is an apocalyptic number.

It is an amenable number.

45001829 is a deficient number, since it is larger than the sum of its proper divisors (1).

45001829 is an equidigital number, since it uses as much as digits as its factorization.

45001829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 45001829 is about 6708.3402567252. The cubic root of 45001829 is about 355.6941493155.

The spelling of 45001829 in words is "forty-five million, one thousand, eight hundred twenty-nine".