Search a number
-
+
5189576832 = 273211537727
BaseRepresentation
bin1001101010101001…
…01010100010000000
3111101200002211002100
410311110222202000
541112012424312
62214542350400
7242413450416
oct46524524200
914350084070
105189576832
112223420980
121009b8b400
1364920682b
1437332d2b6
152059025dc
hex13552a880

5189576832 has 192 divisors, whose sum is σ = 16600671360. Its totient is φ = 1542727680.

The previous prime is 5189576809. The next prime is 5189576869. The reversal of 5189576832 is 2386759815.

5189576832 is a `hidden beast` number, since 518 + 95 + 7 + 6 + 8 + 32 = 666.

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

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, 667753 + ... + 675479.

It is an arithmetic number, because the mean of its divisors is an integer number (86461830).

Almost surely, 25189576832 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 5189576832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8300335680).

5189576832 is an abundant number, since it is smaller than the sum of its proper divisors (11411094528).

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

5189576832 is a wasteful number, since it uses less digits than its factorization.

5189576832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7811 (or 7796 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 5189576832 is about 72038.7175899183. The cubic root of 5189576832 is about 1731.3198779686.

The spelling of 5189576832 in words is "five billion, one hundred eighty-nine million, five hundred seventy-six thousand, eight hundred thirty-two".