Search a number
-
+
5236008000 = 26353297523
BaseRepresentation
bin1001110000001011…
…10010010001000000
3111111220110202200020
410320011302101000
541210404224000
62223321453440
7243516222306
oct47005622100
914456422606
105236008000
112247654343
121021641280
13655a126b2
14379578276
15209a24ba0
hex138172440

5236008000 has 224 divisors, whose sum is σ = 17887858560. Its totient is φ = 1347942400.

The previous prime is 5236007993. The next prime is 5236008013. The reversal of 5236008000 is 8006325.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692239 + ... + 699761.

Almost surely, 25236008000 is an apocalyptic number.

5236008000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5236008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8943929280).

5236008000 is an abundant number, since it is smaller than the sum of its proper divisors (12651850560).

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

5236008000 is a wasteful number, since it uses less digits than its factorization.

5236008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5236008000 is about 72360.2653394803. The cubic root of 5236008000 is about 1736.4679308019.

The spelling of 5236008000 in words is "five billion, two hundred thirty-six million, eight thousand".