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4983448320 = 28335413517
BaseRepresentation
bin1001010010000100…
…10110001100000000
3110212022020101221000
410221002112030000
540201230321240
62142300332000
7234331416564
oct45102261400
913768211830
104983448320
112128032534
12b70b44000
136155b4bb6
14353bd36a4
151e2787430
hex129096300

4983448320 has 288 divisors, whose sum is σ = 18120795840. Its totient is φ = 1296138240.

The previous prime is 4983448303. The next prime is 4983448339. The reversal of 4983448320 is 238443894.

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

It is a super-2 number, since 2×49834483202 = 49669514316221644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415202 + ... + 1418718.

It is an arithmetic number, because the mean of its divisors is an integer number (62919430).

Almost surely, 24983448320 is an apocalyptic number.

4983448320 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 4983448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9060397920).

4983448320 is an abundant number, since it is smaller than the sum of its proper divisors (13137347520).

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

4983448320 is a wasteful number, since it uses less digits than its factorization.

4983448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4983448320 is about 70593.5430475054. The cubic root of 4983448320 is about 1708.0869958083.

The spelling of 4983448320 in words is "four billion, nine hundred eighty-three million, four hundred forty-eight thousand, three hundred twenty".