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8053806049 = 17252792
BaseRepresentation
bin1111000000000101…
…10101001111100001
3202210021122201220221
413200002311033201
5112443233243144
63411101003041
7403403136052
oct74002651741
922707581827
108053806049
113463188763
121689253481
139b4731a13
145658b2729
153220c7d84
hex1e00b53e1

8053806049 has 9 divisors (see below), whose sum is σ = 8557048147. Its totient is φ = 7578616864.

The previous prime is 8053806043. The next prime is 8053806097. The reversal of 8053806049 is 9406083508.

The square root of 8053806049 is 89743.

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

It can be written as a sum of positive squares in only one way, i.e., 6270264225 + 1783541824 = 79185^2 + 42232^2 .

It is not a de Polignac number, because 8053806049 - 215 = 8053773281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8053805996 and 8053806014.

It is not an unprimeable number, because it can be changed into a prime (8053806043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1522992 + ... + 1528270.

Almost surely, 28053806049 is an apocalyptic number.

8053806049 is the 89743-rd square number.

8053806049 is the 44872-nd centered octagonal number.

It is an amenable number.

8053806049 is a deficient number, since it is larger than the sum of its proper divisors (503242098).

8053806049 is an frugal number, since it uses more digits than its factorization.

8053806049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10592 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The cubic root of 8053806049 is about 2004.4738224112.

The spelling of 8053806049 in words is "eight billion, fifty-three million, eight hundred six thousand, forty-nine".

Divisors: 1 17 289 5279 89743 1525631 27867841 473753297 8053806049