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2048328577 = 5361633569
BaseRepresentation
bin111101000010111…
…0000001110000001
312021202021212120101
41322011300032001
513143333003302
6535130442401
7101521335301
oct17205601601
95252255511
102048328577
11961256639
12491b93401
13268498a59
14156079601
15bec5c287
hex7a170381

2048328577 has 8 divisors (see below), whose sum is σ = 2121192360. Its totient is φ = 1976732160.

The previous prime is 2048328563. The next prime is 2048328587. The reversal of 2048328577 is 7758238402.

It can be written as a sum of positive squares in 4 ways, for example, as 16032016 + 2032296561 = 4004^2 + 45081^2 .

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 2048328577 - 27 = 2048328449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2048328587) 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 in 7 ways as a sum of consecutive naturals, for example, 313552 + ... + 320017.

It is an arithmetic number, because the mean of its divisors is an integer number (265149045).

Almost surely, 22048328577 is an apocalyptic number.

It is an amenable number.

2048328577 is a deficient number, since it is larger than the sum of its proper divisors (72863783).

2048328577 is an equidigital number, since it uses as much as digits as its factorization.

2048328577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633683.

The product of its (nonzero) digits is 752640, while the sum is 46.

The square root of 2048328577 is about 45258.4641476045. The cubic root of 2048328577 is about 1269.9887524579.

It can be divided in two parts, 2048 and 328577, that added together give a square (330625 = 5752).

The spelling of 2048328577 in words is "two billion, forty-eight million, three hundred twenty-eight thousand, five hundred seventy-seven".

Divisors: 1 53 61 3233 633569 33579157 38647709 2048328577