Search a number
-
+
4848445728 = 253372711613
BaseRepresentation
bin1001000001111110…
…10110100100100000
3110111220012120012000
410200333112210200
534412200230403
62121035004000
7231102052200
oct44077264440
913456176160
104848445728
112068904045
12b33899600
135c36373c9
1433dcd0400
151d59bb7a3
hex120fd6920

4848445728 has 288 divisors, whose sum is σ = 16692117120. Its totient is φ = 1364912640.

The previous prime is 4848445717. The next prime is 4848445741. The reversal of 4848445728 is 8275448484.

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

It is a super-2 number, since 2×48484457282 = 47014851954722899968, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3005050 + ... + 3006662.

It is an arithmetic number, because the mean of its divisors is an integer number (57958740).

Almost surely, 24848445728 is an apocalyptic number.

4848445728 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 4848445728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346058560).

4848445728 is an abundant number, since it is smaller than the sum of its proper divisors (11843671392).

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

4848445728 is a wasteful number, since it uses less digits than its factorization.

4848445728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1696 counting only the distinct ones).

The product of its digits is 9175040, while the sum is 54.

The square root of 4848445728 is about 69630.7814691175. The cubic root of 4848445728 is about 1692.5214428256.

The spelling of 4848445728 in words is "four billion, eight hundred forty-eight million, four hundred forty-five thousand, seven hundred twenty-eight".