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4865803488 = 25347313421
BaseRepresentation
bin1001000100000011…
…00100010011100000
3110120002212102120000
410202001210103200
534431121202423
62122455020000
7231402435000
oct44201442340
913502772500
104865803488
11207768a1a7
12b3966a600
135c7103c80
1434232c000
151d7299843
hex1220644e0

4865803488 has 480 divisors, whose sum is σ = 18014673600. Its totient is φ = 1280240640.

The previous prime is 4865803477. The next prime is 4865803507. The reversal of 4865803488 is 8843085684.

4865803488 is a `hidden beast` number, since 4 + 86 + 5 + 80 + 3 + 488 = 666.

It is a super-3 number, since 3×48658034883 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11557518 + ... + 11557938.

It is an arithmetic number, because the mean of its divisors is an integer number (37530570).

Almost surely, 24865803488 is an apocalyptic number.

4865803488 is a gapful number since it is divisible by the number (48) 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 4865803488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9007336800).

4865803488 is an abundant number, since it is smaller than the sum of its proper divisors (13148870112).

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

4865803488 is a wasteful number, since it uses less digits than its factorization.

4865803488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The square root of 4865803488 is about 69755.3115396957. The cubic root of 4865803488 is about 1694.5388172828.

The spelling of 4865803488 in words is "four billion, eight hundred sixty-five million, eight hundred three thousand, four hundred eighty-eight".