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4852523520 = 293251317953
BaseRepresentation
bin1001000010011101…
…11010001000000000
3110112011212201212100
410201032322020000
534414221223040
62121302230400
7231151524615
oct44116721000
913464781770
104852523520
112070139819
12b35125400
135c44344c0
1434067250c
151d6024b30
hex1213ba200

4852523520 has 480 divisors, whose sum is σ = 19183115952. Its totient is φ = 1123024896.

The previous prime is 4852523519. The next prime is 4852523521. The reversal of 4852523520 is 253252584.

It is a happy number.

4852523520 is a `hidden beast` number, since 4 + 85 + 2 + 52 + 3 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (4852523519) and next prime (4852523521).

It can be written as a sum of positive squares in 8 ways, for example, as 1660725504 + 3191798016 = 40752^2 + 56496^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (4852523521) by changing a digit.

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, 5091364 + ... + 5092316.

Almost surely, 24852523520 is an apocalyptic number.

4852523520 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 4852523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591557976).

4852523520 is an abundant number, since it is smaller than the sum of its proper divisors (14330592432).

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

4852523520 is a wasteful number, since it uses less digits than its factorization.

4852523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 4852523520 is about 69660.0568475220. The cubic root of 4852523520 is about 1692.9958090302.

The spelling of 4852523520 in words is "four billion, eight hundred fifty-two million, five hundred twenty-three thousand, five hundred twenty".