Search a number
-
+
5731934208 = 213371113233
BaseRepresentation
bin1010101011010011…
…00110000000000000
3112210110122102112120
411111221212000000
543214333343313
62344435124240
7262020431310
oct52551460000
915713572476
105731934208
112481589010
12113b743680
1370469c460
143c538d440
15238335d23
hex155a66000

5731934208 has 448 divisors, whose sum is σ = 20609551872. Its totient is φ = 1368391680.

The previous prime is 5731934203. The next prime is 5731934227. The reversal of 5731934208 is 8024391375.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5731934208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5731934203) 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 31 ways as a sum of consecutive naturals, for example, 24600460 + ... + 24600692.

It is an arithmetic number, because the mean of its divisors is an integer number (46003464).

Almost surely, 25731934208 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 5731934208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10304775936).

5731934208 is an abundant number, since it is smaller than the sum of its proper divisors (14877617664).

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

5731934208 is a wasteful number, since it uses less digits than its factorization.

5731934208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5731934208 is about 75709.5384215226. The cubic root of 5731934208 is about 1789.6457178848.

It can be divided in two parts, 5731 and 934208, that added together give a palindrome (939939).

The spelling of 5731934208 in words is "five billion, seven hundred thirty-one million, nine hundred thirty-four thousand, two hundred eight".