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4483848960 = 2834559733
BaseRepresentation
bin1000010110100001…
…00001101100000000
3102120111011010110000
410023100201230000
533140331131320
62020532240000
7216054041643
oct41320415400
912514133400
104483848960
1119a101a0a8
12a51770000
13565c40286
14307703a5a
151b399cc90
hex10b421b00

4483848960 has 360 divisors, whose sum is σ = 16338223440. Its totient is φ = 1173823488.

The previous prime is 4483848937. The next prime is 4483848979. The reversal of 4483848960 is 698483844.

4483848960 is a `hidden beast` number, since 4 + 483 + 84 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 4483848897 and 4483848906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6116754 + ... + 6117486.

It is an arithmetic number, because the mean of its divisors is an integer number (45383954).

Almost surely, 24483848960 is an apocalyptic number.

4483848960 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 4483848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8169111720).

4483848960 is an abundant number, since it is smaller than the sum of its proper divisors (11854374480).

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

4483848960 is an equidigital number, since it uses as much as digits as its factorization.

4483848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 4483848960 is about 66961.5483691947. The cubic root of 4483848960 is about 1648.9860878303.

The spelling of 4483848960 in words is "four billion, four hundred eighty-three million, eight hundred forty-eight thousand, nine hundred sixty".