Search a number
-
+
5241383472 = 2431319592127
BaseRepresentation
bin1001110000110100…
…10010101000110000
3111112021120212102210
410320122102220300
541213243232342
62224033012120
7243613011243
oct47032225060
914467525383
105241383472
11224a695a86
1210233b4040
13656b75350
1437a17725a
1520a23779c
hex138692a30

5241383472 has 240 divisors, whose sum is σ = 15736770560. Its totient is φ = 1490130432.

The previous prime is 5241383467. The next prime is 5241383473. The reversal of 5241383472 is 2743831425.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (161280) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 5241383472.

It is not an unprimeable number, because it can be changed into a prime (5241383473) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 41270673 + ... + 41270799.

Almost surely, 25241383472 is an apocalyptic number.

5241383472 is a gapful number since it is divisible by the number (52) 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 5241383472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868385280).

5241383472 is an abundant number, since it is smaller than the sum of its proper divisors (10495387088).

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

5241383472 is a wasteful number, since it uses less digits than its factorization.

5241383472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 223 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 5241383472 is about 72397.3996218096. The cubic root of 5241383472 is about 1737.0619674701.

The spelling of 5241383472 in words is "five billion, two hundred forty-one million, three hundred eighty-three thousand, four hundred seventy-two".