Search a number
-
+
5033260800 = 28325287383
BaseRepresentation
bin1001011000000000…
…10111011100000000
3110222202222010210200
410230000113130000
540302003321200
62151240125200
7235505003511
oct45400273400
913882863720
105033260800
112153165377
12b85766800
13622a05b39
1435a67ca08
151e6d26800
hex12c017700

5033260800 has 162 divisors, whose sum is σ = 17995249272. Its totient is φ = 1342187520.

The previous prime is 5033260783. The next prime is 5033260807. The reversal of 5033260800 is 80623305.

5033260800 is a `hidden beast` number, since 50 + 3 + 3 + 2 + 608 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5033260807) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 13909 + ... + 101291.

Almost surely, 25033260800 is an apocalyptic number.

5033260800 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 5033260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8997624636).

5033260800 is an abundant number, since it is smaller than the sum of its proper divisors (12961988472).

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

5033260800 is a wasteful number, since it uses less digits than its factorization.

5033260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87415 (or 87393 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5033260800 is about 70945.4776571418. The cubic root of 5033260800 is about 1713.7592478597.

The spelling of 5033260800 in words is "five billion, thirty-three million, two hundred sixty thousand, eight hundred".