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2579311049 = 7252639001
BaseRepresentation
bin1001100110111101…
…0010100111001001
320122202102120120212
42121233102213021
520240300423144
61103535330505
7120626532200
oct23157224711
96582376525
102579311049
111103a54627
125bb980a35
133214ab073
141a67b8237
1510169549e
hex99bd29c9

2579311049 has 6 divisors (see below), whose sum is σ = 3000423114. Its totient is φ = 2210838000.

The previous prime is 2579311037. The next prime is 2579311067. The reversal of 2579311049 is 9401139752.

It can be written as a sum of positive squares in only one way, i.e., 1808971024 + 770340025 = 42532^2 + 27755^2 .

It is not a de Polignac number, because 2579311049 - 28 = 2579310793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2579310997 and 2579311015.

It is not an unprimeable number, because it can be changed into a prime (2579311019) 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 5 ways as a sum of consecutive naturals, for example, 26319452 + ... + 26319549.

It is an arithmetic number, because the mean of its divisors is an integer number (500070519).

Almost surely, 22579311049 is an apocalyptic number.

It is an amenable number.

2579311049 is a deficient number, since it is larger than the sum of its proper divisors (421112065).

2579311049 is an equidigital number, since it uses as much as digits as its factorization.

2579311049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52639015 (or 52639008 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 2579311049 is about 50786.9180892088. The cubic root of 2579311049 is about 1371.4118765572.

The spelling of 2579311049 in words is "two billion, five hundred seventy-nine million, three hundred eleven thousand, forty-nine".

Divisors: 1 7 49 52639001 368473007 2579311049