Search a number
-
+
5250320000 = 275465629
BaseRepresentation
bin1001110001111000…
…11000011010000000
3111112220101220001022
410320330120122000
541223040220000
62224552325012
7244051661252
oct47074303200
914486356038
105250320000
11225473a142
1210263a3768
13658983b33
1437b421cd2
1520ae00585
hex138f18680

5250320000 has 80 divisors (see below), whose sum is σ = 13070542650. Its totient is φ = 2100096000.

The previous prime is 5250319979. The next prime is 5250320011. The reversal of 5250320000 is 230525.

It can be written as a sum of positive squares in 5 ways, for example, as 44408896 + 5205911104 = 6664^2 + 72152^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 9 ways as a sum of consecutive naturals, for example, 47186 + ... + 112814.

Almost surely, 25250320000 is an apocalyptic number.

5250320000 is a gapful number since it is divisible by the number (50) 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 5250320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535271325).

5250320000 is an abundant number, since it is smaller than the sum of its proper divisors (7820222650).

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

5250320000 is an frugal number, since it uses more digits than its factorization.

5250320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65663 (or 65636 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 5250320000 is about 72459.0919070892. The cubic root of 5250320000 is about 1738.0486337425.

Adding to 5250320000 its reverse (230525), we get a palindrome (5250550525).

The spelling of 5250320000 in words is "five billion, two hundred fifty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 65629 80000 131258 262516 328145 525032 656290 1050064 1312580 1640725 2100128 2625160 3281450 4200256 5250320 6562900 8203625 8400512 10500640 13125800 16407250 21001280 26251600 32814500 41018125 42002560 52503200 65629000 82036250 105006400 131258000 164072500 210012800 262516000 328145000 525032000 656290000 1050064000 1312580000 2625160000 5250320000