Search a number
-
+
5086483584 = 273713211197
BaseRepresentation
bin1001011110010110…
…11001010010000000
3111010111010010201220
410233023121102000
540404114433314
62200420555040
7240022253130
oct45713312200
914114103656
105086483584
112180207446
12b9b552a80
13630a4c100
14363774ac0
151eb83b3a9
hex12f2d9480

5086483584 has 192 divisors, whose sum is σ = 16721749440. Its totient is φ = 1341370368.

The previous prime is 5086483543. The next prime is 5086483637. The reversal of 5086483584 is 4853846805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448674 + ... + 459870.

It is an arithmetic number, because the mean of its divisors is an integer number (87092445).

Almost surely, 25086483584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086483584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360874720).

5086483584 is an abundant number, since it is smaller than the sum of its proper divisors (11635265856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5086483584 is a wasteful number, since it uses less digits than its factorization.

5086483584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11247 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The square root of 5086483584 is about 71319.5876600531. The cubic root of 5086483584 is about 1719.7786338511.

The spelling of 5086483584 in words is "five billion, eighty-six million, four hundred eighty-three thousand, five hundred eighty-four".