Search a number
-
+
5239765440 = 2632571319993
BaseRepresentation
bin1001110000101000…
…00111100111000000
3111112011112122220200
410320110013213000
541212334443230
62223534205200
7243563162040
oct47024074700
914464478820
105239765440
112249790368
121022953800
13656729a30
14379c75720
1520a018160
hex1385079c0

5239765440 has 336 divisors, whose sum is σ = 22182783168. Its totient is φ = 1105477632.

The previous prime is 5239765393. The next prime is 5239765463. The reversal of 5239765440 is 445679325.

5239765440 is a `hidden beast` number, since 5 + 2 + 39 + 76 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 252084 + ... + 272076.

It is an arithmetic number, because the mean of its divisors is an integer number (66020188).

Almost surely, 25239765440 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 5239765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091391584).

5239765440 is an abundant number, since it is smaller than the sum of its proper divisors (16943017728).

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

5239765440 is a wasteful number, since it uses less digits than its factorization.

5239765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20036 (or 20023 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5239765440 is about 72386.2241037616. The cubic root of 5239765440 is about 1736.8832035280.

The spelling of 5239765440 in words is "five billion, two hundred thirty-nine million, seven hundred sixty-five thousand, four hundred forty".