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8048063521 = 28323172
BaseRepresentation
bin1110111111011001…
…11011010000100001
3202202212211222122201
413133230323100201
5112440301013041
63410333533201
7403303261021
oct73754732041
922685758581
108048063521
11345aa16273
121687344201
139b34a0c84
14564c19a81
15321841631
hex1dfb3b421

8048063521 has 9 divisors (see below), whose sum is σ = 8102161011. Its totient is φ = 7994326632.

The previous prime is 8048063503. The next prime is 8048063539. The reversal of 8048063521 is 1253608408.

It is a happy number.

The square root of 8048063521 is 89711.

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

It is an interprime number because it is at equal distance from previous prime (8048063503) and next prime (8048063539).

It can be written as a sum of positive squares in only one way, i.e., 450500625 + 7597562896 = 21225^2 + 87164^2 .

It is not a de Polignac number, because 8048063521 - 25 = 8048063489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8048063581) 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 8 ways as a sum of consecutive naturals, for example, 25388055 + ... + 25388371.

Almost surely, 28048063521 is an apocalyptic number.

8048063521 is the 89711-st square number.

8048063521 is the 44856-th centered octagonal number.

It is an amenable number.

8048063521 is a deficient number, since it is larger than the sum of its proper divisors (54097490).

8048063521 is an frugal number, since it uses more digits than its factorization.

8048063521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The cubic root of 8048063521 is about 2003.9972988949.

The spelling of 8048063521 in words is "eight billion, forty-eight million, sixty-three thousand, five hundred twenty-one".

Divisors: 1 283 317 80089 89711 100489 25388213 28438387 8048063521