Search a number
-
+
5736682224 = 2433713731999
BaseRepresentation
bin1010101011110111…
…01101001011110000
3112210210120122121000
411111323231023300
543222042312344
62345125002000
7262105665030
oct52573551360
915723518530
105736682224
112484231299
121141253300
13705672630
143c5c678c0
15238972a69
hex155eed2f0

5736682224 has 320 divisors, whose sum is σ = 20554240000. Its totient is φ = 1491499008.

The previous prime is 5736682213. The next prime is 5736682229. The reversal of 5736682224 is 4222866375.

It is a self number, because there is not a number n which added to its sum of digits gives 5736682224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5736682229) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2868777 + ... + 2870775.

It is an arithmetic number, because the mean of its divisors is an integer number (64232000).

Almost surely, 25736682224 is an apocalyptic number.

5736682224 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 5736682224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277120000).

5736682224 is an abundant number, since it is smaller than the sum of its proper divisors (14817557776).

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

5736682224 is a wasteful number, since it uses less digits than its factorization.

5736682224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2097 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 5736682224 is about 75740.8887193701. Note that the first 3 decimals coincide. The cubic root of 5736682224 is about 1790.1397292169.

The spelling of 5736682224 in words is "five billion, seven hundred thirty-six million, six hundred eighty-two thousand, two hundred twenty-four".