Search a number
-
+
4808733120 = 263253745127
BaseRepresentation
bin1000111101001111…
…10111000111000000
3110102010110221201200
410132213313013000
534322013424440
62113055501200
7230110362042
oct43647670700
913363427650
104808733120
11204844a404
12b22527800
135b8341619
14338913a92
151d2274c30
hex11e9f71c0

4808733120 has 168 divisors, whose sum is σ = 16987442784. Its totient is φ = 1247643648.

The previous prime is 4808733079. The next prime is 4808733121. The reversal of 4808733120 is 213378084.

It is a super-3 number, since 3×48087331203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4808733121) 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 23 ways as a sum of consecutive naturals, for example, 83997 + ... + 129123.

Almost surely, 24808733120 is an apocalyptic number.

4808733120 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 4808733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493721392).

4808733120 is an abundant number, since it is smaller than the sum of its proper divisors (12178709664).

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

4808733120 is a wasteful number, since it uses less digits than its factorization.

4808733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45187 (or 45174 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4808733120 is about 69345.0295262753. The cubic root of 4808733120 is about 1687.8877383919.

The spelling of 4808733120 in words is "four billion, eight hundred eight million, seven hundred thirty-three thousand, one hundred twenty".