Search a number
-
+
5650381800 = 233552717977
BaseRepresentation
bin1010100001100100…
…11111101111101000
3112120210012010200000
411100302133233220
543032444204200
62332403143000
7260010311220
oct52062375750
915523163600
105650381800
11243a547528
121118374a60
136c08175ab
143b8601080
152310c7300
hex150c9fbe8

5650381800 has 576 divisors, whose sum is σ = 23837224320. Its totient is φ = 1214300160.

The previous prime is 5650381769. The next prime is 5650381813. The reversal of 5650381800 is 81830565.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5782912 + ... + 5783888.

It is an arithmetic number, because the mean of its divisors is an integer number (41384070).

Almost surely, 25650381800 is an apocalyptic number.

5650381800 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 5650381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918612160).

5650381800 is an abundant number, since it is smaller than the sum of its proper divisors (18186842520).

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

5650381800 is a wasteful number, since it uses less digits than its factorization.

5650381800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5650381800 is about 75169.0215447827. The cubic root of 5650381800 is about 1781.1176123215.

The spelling of 5650381800 in words is "five billion, six hundred fifty million, three hundred eighty-one thousand, eight hundred".