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905880049 is a prime number
BaseRepresentation
bin110101111111101…
…010000111110001
32100010120110210221
4311333222013301
53323401130144
6225520053041
731306565464
oct6577520761
92303513727
10905880049
114253890a8
12213464181
131158a4bc9
148844b2db
15547ddd84
hex35fea1f1

905880049 has 2 divisors, whose sum is σ = 905880050. Its totient is φ = 905880048.

The previous prime is 905880023. The next prime is 905880061. The reversal of 905880049 is 940088509.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 829440000 + 76440049 = 28800^2 + 8743^2 .

It is an emirp because it is prime and its reverse (940088509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 905880049 - 219 = 905355761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 905879987 and 905880014.

It is not a weakly prime, because it can be changed into another prime (905880149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452940024 + 452940025.

It is an arithmetic number, because the mean of its divisors is an integer number (452940025).

Almost surely, 2905880049 is an apocalyptic number.

It is an amenable number.

905880049 is a deficient number, since it is larger than the sum of its proper divisors (1).

905880049 is an equidigital number, since it uses as much as digits as its factorization.

905880049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 905880049 is about 30097.8412681043. The cubic root of 905880049 is about 967.5874608842.

The spelling of 905880049 in words is "nine hundred five million, eight hundred eighty thousand, forty-nine".