Search a number
-
+
5882243328 = 28341321821
BaseRepresentation
bin1010111101001101…
…11110100100000000
3120011221110220220000
411132212332210000
544021323241303
62411404520000
7265524146313
oct53646764400
916157426800
105882243328
112549411525
121181b50000
13729878c70
143db31897a
15246626da3
hex15e9be900

5882243328 has 180 divisors, whose sum is σ = 18889865148. Its totient is φ = 1809838080.

The previous prime is 5882243327. The next prime is 5882243329. The reversal of 5882243328 is 8233422885.

It is a happy number.

5882243328 is a `hidden beast` number, since 5 + 8 + 82 + 243 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (5882243327) and next prime (5882243329).

It can be written as a sum of positive squares in 2 ways, for example, as 2083739904 + 3798503424 = 45648^2 + 61632^2 .

It is not an unprimeable number, because it can be changed into a prime (5882243327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 258658 + ... + 280478.

Almost surely, 25882243328 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 5882243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444932574).

5882243328 is an abundant number, since it is smaller than the sum of its proper divisors (13007621820).

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

5882243328 is a wasteful number, since it uses less digits than its factorization.

5882243328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21862 (or 21839 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 5882243328 is about 76695.7842909244. The cubic root of 5882243328 is about 1805.1542932794.

The spelling of 5882243328 in words is "five billion, eight hundred eighty-two million, two hundred forty-three thousand, three hundred twenty-eight".