[go: up one dir, main page]

Search a number
-
+
4849891200 = 273952711
BaseRepresentation
bin1001000010001001…
…10111011110000000
3110111222221000000000
410201010313132000
534413033004300
62121130000000
7231120252330
oct44104673600
913458830000
104849891200
112069701050
12b34276000
135c3a2230b
143401890c0
151d5ba4c00
hex121137780

4849891200 has 960 divisors, whose sum is σ = 22405173120. Its totient is φ = 1007769600.

The previous prime is 4849891187. The next prime is 4849891229. The reversal of 4849891200 is 21989484.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 440899195 + ... + 440899205.

It is an arithmetic number, because the mean of its divisors is an integer number (23338722).

Almost surely, 24849891200 is an apocalyptic number.

4849891200 is a gapful number since it is divisible by the number (40) 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 4849891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11202586560).

4849891200 is an abundant number, since it is smaller than the sum of its proper divisors (17555281920).

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

4849891200 is an frugal number, since it uses more digits than its factorization.

4849891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4849891200 is about 69641.1602430632. The cubic root of 4849891200 is about 1692.6896238199.

The spelling of 4849891200 in words is "four billion, eight hundred forty-nine million, eight hundred ninety-one thousand, two hundred".