Search a number
-
+
4841998560 = 25355717791
BaseRepresentation
bin1001000001001101…
…10000100011100000
3110111110002000100000
410200212300203200
534404022423220
62120244500000
7230663210610
oct44046604340
913443060300
104841998560
112065200203
12b316aa600
135c21baa09
1433d0d2a40
151d5146390
hex1209b08e0

4841998560 has 288 divisors, whose sum is σ = 19584294912. Its totient is φ = 1106680320.

The previous prime is 4841998541. The next prime is 4841998591. The reversal of 4841998560 is 658991484.

4841998560 is a `hidden beast` number, since 484 + 19 + 98 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×48419985603 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4841998497 and 4841998506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263265 + ... + 281055.

It is an arithmetic number, because the mean of its divisors is an integer number (68001024).

Almost surely, 24841998560 is an apocalyptic number.

4841998560 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 4841998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792147456).

4841998560 is an abundant number, since it is smaller than the sum of its proper divisors (14742296352).

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

4841998560 is a wasteful number, since it uses less digits than its factorization.

4841998560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17828 (or 17808 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 4841998560 is about 69584.4706813237. The cubic root of 4841998560 is about 1691.7709060581.

The spelling of 4841998560 in words is "four billion, eight hundred forty-one million, nine hundred ninety-eight thousand, five hundred sixty".