Search a number
-
+
4475265120 = 253353113331
BaseRepresentation
bin1000010101011111…
…10010000001100000
3102112220000000122000
410022233302001200
533131131440440
62020024244000
7215621061114
oct41257620140
912486000560
104475265120
111997196a17
12a4a910600
13564226191
1430650b744
151b2d54730
hex10abf2060

4475265120 has 192 divisors, whose sum is σ = 15718510080. Its totient is φ = 1189209600.

The previous prime is 4475265103. The next prime is 4475265127. The reversal of 4475265120 is 215625744.

It is a happy number.

4475265120 is a `hidden beast` number, since 4 + 4 + 7 + 526 + 5 + 120 = 666.

It is a super-2 number, since 2×44752651202 = 40055995788577228800, which contains 22 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 (4475265127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1341855 + ... + 1345185.

It is an arithmetic number, because the mean of its divisors is an integer number (81867240).

Almost surely, 24475265120 is an apocalyptic number.

4475265120 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 4475265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859255040).

4475265120 is an abundant number, since it is smaller than the sum of its proper divisors (11243244960).

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

4475265120 is a wasteful number, since it uses less digits than its factorization.

4475265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4475265120 is about 66897.4223718672. The cubic root of 4475265120 is about 1647.9331476007.

The spelling of 4475265120 in words is "four billion, four hundred seventy-five million, two hundred sixty-five thousand, one hundred twenty".