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2593763041 = 509292
BaseRepresentation
bin1001101010011001…
…1010111011100001
320200202121210222211
42122212122323201
520303000404131
61105213202121
7121163423242
oct23246327341
96622553884
102593763041
111111125621
12604790341
1332449b13c
141a869acc9
15102a9c5b1
hex9a99aee1

2593763041 has 3 divisors (see below), whose sum is σ = 2593813971. Its totient is φ = 2593712112.

The previous prime is 2593763023. The next prime is 2593763057. The reversal of 2593763041 is 1403673952.

It is a happy number.

The square root of 2593763041 is 50929.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 137569441 + 2456193600 = 11729^2 + 49560^2 .

It is not a de Polignac number, because 2593763041 - 221 = 2591665889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2593762985 and 2593763003.

It is not an unprimeable number, because it can be changed into a prime (2593763141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25465 + ... + 76393.

It is an arithmetic number, because the mean of its divisors is an integer number (864604657).

Almost surely, 22593763041 is an apocalyptic number.

2593763041 is the 50929-th square number.

2593763041 is the 25465-th centered octagonal number.

It is an amenable number.

2593763041 is a deficient number, since it is larger than the sum of its proper divisors (50930).

2593763041 is an frugal number, since it uses more digits than its factorization.

2593763041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101858 (or 50929 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The cubic root of 2593763041 is about 1373.9684677210.

The spelling of 2593763041 in words is "two billion, five hundred ninety-three million, seven hundred sixty-three thousand, forty-one".

Divisors: 1 50929 2593763041