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2788252417 is a prime number
BaseRepresentation
bin1010011000110001…
…0101101100000001
321012022120220021001
42212030111230001
521202243034132
61140401532001
7126044516536
oct24614255401
97168526231
102788252417
111200994345
12659944001
13355876102
141c6446d8d
15114bb8ce7
hexa6315b01

2788252417 has 2 divisors, whose sum is σ = 2788252418. Its totient is φ = 2788252416.

The previous prime is 2788252403. The next prime is 2788252427. The reversal of 2788252417 is 7142528872.

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., 2201111056 + 587141361 = 46916^2 + 24231^2 .

It is a cyclic number.

It is not a de Polignac number, because 2788252417 - 223 = 2779863809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2788252427) 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, 1394126208 + 1394126209.

It is an arithmetic number, because the mean of its divisors is an integer number (1394126209).

Almost surely, 22788252417 is an apocalyptic number.

It is an amenable number.

2788252417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2788252417 is an equidigital number, since it uses as much as digits as its factorization.

2788252417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 501760, while the sum is 46.

The square root of 2788252417 is about 52803.9053195879. The cubic root of 2788252417 is about 1407.4858230975.

The spelling of 2788252417 in words is "two billion, seven hundred eighty-eight million, two hundred fifty-two thousand, four hundred seventeen".