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2048261333 is a prime number
BaseRepresentation
bin111101000010101…
…1111110011010101
312021202011110022212
41322011133303111
513143323330313
6535125203205
7101520635246
oct17205376325
95252143285
102048261333
11961210068
12491b60505
13268474271
1415605cccd
15bec473a8
hex7a15fcd5

2048261333 has 2 divisors, whose sum is σ = 2048261334. Its totient is φ = 2048261332.

The previous prime is 2048261323. The next prime is 2048261339. The reversal of 2048261333 is 3331628402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1840238404 + 208022929 = 42898^2 + 14423^2 .

It is a cyclic number.

It is not a de Polignac number, because 2048261333 - 24 = 2048261317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2048261333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2048261339) 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, 1024130666 + 1024130667.

It is an arithmetic number, because the mean of its divisors is an integer number (1024130667).

Almost surely, 22048261333 is an apocalyptic number.

It is an amenable number.

2048261333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2048261333 is an equidigital number, since it uses as much as digits as its factorization.

2048261333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2048261333 is about 45257.7212528426. The cubic root of 2048261333 is about 1269.9748549385.

Adding to 2048261333 its reverse (3331628402), we get a palindrome (5379889735).

The spelling of 2048261333 in words is "two billion, forty-eight million, two hundred sixty-one thousand, three hundred thirty-three".