Search a number
-
+
5345253888 = 293131973193
BaseRepresentation
bin1001111101001101…
…00001101000000000
3111210112001000212020
410332212201220000
541421341111023
62242223201440
7246313623402
oct47646415000
914715030766
105345253888
1122a32903a7
121052146280
13672542730
14389c94b72
15214403de3
hex13e9a1a00

5345253888 has 320 divisors, whose sum is σ = 16448530560. Its totient is φ = 1528823808.

The previous prime is 5345253827. The next prime is 5345253913. The reversal of 5345253888 is 8883525435.

It is a self number, because there is not a number n which added to its sum of digits gives 5345253888.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27695520 + ... + 27695712.

It is an arithmetic number, because the mean of its divisors is an integer number (51401658).

Almost surely, 25345253888 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 5345253888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8224265280).

5345253888 is an abundant number, since it is smaller than the sum of its proper divisors (11103276672).

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

5345253888 is a wasteful number, since it uses less digits than its factorization.

5345253888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 51.

The square root of 5345253888 is about 73111.2432393267. The cubic root of 5345253888 is about 1748.4616563275.

The spelling of 5345253888 in words is "five billion, three hundred forty-five million, two hundred fifty-three thousand, eight hundred eighty-eight".