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2540000249 = 53127737529
BaseRepresentation
bin1001011101100101…
…0101001111111001
320120000110101022022
42113121111033321
520200220001444
61100013004225
7116641434353
oct22731251771
96500411268
102540000249
111093844866
125aa783675
133162c6137
141a14a40d3
15ececc9ee
hex976553f9

2540000249 has 8 divisors (see below), whose sum is σ = 2590020360. Its totient is φ = 2490057856.

The previous prime is 2540000189. The next prime is 2540000261. The reversal of 2540000249 is 9420000452.

It can be written as a sum of positive squares in 4 ways, for example, as 191628649 + 2348371600 = 13843^2 + 48460^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2540000249 - 28 = 2539999993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2540000269) 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 in 7 ways as a sum of consecutive naturals, for example, 48917 + ... + 86445.

It is an arithmetic number, because the mean of its divisors is an integer number (323752545).

Almost surely, 22540000249 is an apocalyptic number.

It is an amenable number.

2540000249 is a deficient number, since it is larger than the sum of its proper divisors (50020111).

2540000249 is a wasteful number, since it uses less digits than its factorization.

2540000249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38859.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2540000249 is about 50398.4151437324. The cubic root of 2540000249 is about 1364.4090343476.

The spelling of 2540000249 in words is "two billion, five hundred forty million, two hundred forty-nine", and thus it is an aban number.

Divisors: 1 53 1277 37529 67681 1989037 47924533 2540000249