Search a number
-
+
5299409728 = 261740911909
BaseRepresentation
bin1001110111101111…
…01001001101000000
3111200022202220111101
410323313221031000
541323122102403
62233504424144
7245216145064
oct47367511500
914608686441
105299409728
11227a418a68
12103a918054
13665bb0b02
14383b5daa4
1521039a71d
hex13bde9340

5299409728 has 56 divisors (see below), whose sum is σ = 11162766600. Its totient is φ = 2487533568.

The previous prime is 5299409723. The next prime is 5299409749. The reversal of 5299409728 is 8279049925.

It can be written as a sum of positive squares in 4 ways, for example, as 2204490304 + 3094919424 = 46952^2 + 55632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5299409723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439038 + ... + 450946.

Almost surely, 25299409728 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 5299409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581383300).

5299409728 is an abundant number, since it is smaller than the sum of its proper divisors (5863356872).

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

5299409728 is a wasteful number, since it uses less digits than its factorization.

5299409728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12347 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The square root of 5299409728 is about 72797.0447751830. The cubic root of 5299409728 is about 1743.4486726267.

The spelling of 5299409728 in words is "five billion, two hundred ninety-nine million, four hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 409 544 818 1088 1636 3272 6544 6953 11909 13088 13906 23818 26176 27812 47636 55624 95272 111248 190544 202453 222496 381088 404906 444992 762176 809812 1619624 3239248 4870781 6478496 9741562 12956992 19483124 38966248 77932496 82803277 155864992 165606554 311729984 331213108 662426216 1324852432 2649704864 5299409728