Search a number
-
+
5200648992 = 25327111912343
BaseRepresentation
bin1001101011111101…
…11001101100100000
3111102102221100020100
410311332321230200
541122331231432
62220015542400
7242606533650
oct46576715440
914372840210
105200648992
1122296a3620
12101182aa00
1364b5b23c6
143749b2360
1520688d07c
hex135fb9b20

5200648992 has 288 divisors, whose sum is σ = 19410693120. Its totient is φ = 1279618560.

The previous prime is 5200648963. The next prime is 5200649057. The reversal of 5200648992 is 2998460025.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415173 + ... + 427515.

It is an arithmetic number, because the mean of its divisors is an integer number (67398240).

Almost surely, 25200648992 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 5200648992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9705346560).

5200648992 is an abundant number, since it is smaller than the sum of its proper divisors (14210044128).

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

5200648992 is a wasteful number, since it uses less digits than its factorization.

5200648992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12396 (or 12385 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5200648992 is about 72115.5253187550. The cubic root of 5200648992 is about 1732.5502823309.

The spelling of 5200648992 in words is "five billion, two hundred million, six hundred forty-eight thousand, nine hundred ninety-two".