Search a number
-
+
5221740384 = 253371078069
BaseRepresentation
bin1001101110011110…
…10110111101100000
3111110220121220012000
410313033112331200
541143231143014
62222052004000
7243254026620
oct46717267540
914426556160
105221740384
11223a599923
121018900600
13652a88513
14377702880
15208657509
hex1373d6f60

5221740384 has 192 divisors, whose sum is σ = 17570649600. Its totient is φ = 1477799424.

The previous prime is 5221740367. The next prime is 5221740397. The reversal of 5221740384 is 4830471225.

It is a happy number.

5221740384 is a `hidden beast` number, since 522 + 17 + 40 + 3 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643102 + ... + 651170.

It is an arithmetic number, because the mean of its divisors is an integer number (91513800).

Almost surely, 25221740384 is an apocalyptic number.

5221740384 is a gapful number since it is divisible by the number (54) 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 5221740384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8785324800).

5221740384 is an abundant number, since it is smaller than the sum of its proper divisors (12348909216).

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

5221740384 is a wasteful number, since it uses less digits than its factorization.

5221740384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5221740384 is about 72261.6107210461. The cubic root of 5221740384 is about 1734.8892602348.

The spelling of 5221740384 in words is "five billion, two hundred twenty-one million, seven hundred forty thousand, three hundred eighty-four".