Search a number
-
+
5179513248 = 253472133137
BaseRepresentation
bin1001101001011100…
…10001100110100000
3111100222011112110000
410310232101212200
541101423410443
62213542540000
7242232064500
oct46456214640
914328145400
105179513248
112218777a68
121006737600
136470c2050
14371c6da00
15204ab58d3
hex134b919a0

5179513248 has 360 divisors, whose sum is σ = 19088937252. Its totient is φ = 1365590016.

The previous prime is 5179513247. The next prime is 5179513279. The reversal of 5179513248 is 8423159715.

5179513248 is a `hidden beast` number, since 517 + 95 + 1 + 3 + 2 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5014339344 + 165173904 = 70812^2 + 12852^2 .

It is not an unprimeable number, because it can be changed into a prime (5179513243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1649536 + ... + 1652672.

Almost surely, 25179513248 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 5179513248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9544468626).

5179513248 is an abundant number, since it is smaller than the sum of its proper divisors (13909424004).

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

5179513248 is a wasteful number, since it uses less digits than its factorization.

5179513248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3162 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 5179513248 is about 71968.8352552687. The cubic root of 5179513248 is about 1730.2000334483.

The spelling of 5179513248 in words is "five billion, one hundred seventy-nine million, five hundred thirteen thousand, two hundred forty-eight".