Search a number
-
+
4844689920 = 293357171931
BaseRepresentation
bin1001000001100010…
…00001101000000000
3110111122010202012000
410200301001220000
534410220034140
62120422304000
7231025120260
oct44061015000
913448122160
104844689920
112066779274
12b32588000
135c2920a35
1433d5d37a0
151d54c8a30
hex120c41a00

4844689920 has 1280 divisors, whose sum is σ = 22627123200. Its totient is φ = 955514880.

The previous prime is 4844689919. The next prime is 4844689961. The reversal of 4844689920 is 299864484.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 156280305 + ... + 156280335.

It is an arithmetic number, because the mean of its divisors is an integer number (17677440).

Almost surely, 24844689920 is an apocalyptic number.

4844689920 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 4844689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313561600).

4844689920 is an abundant number, since it is smaller than the sum of its proper divisors (17782433280).

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

4844689920 is a wasteful number, since it uses less digits than its factorization.

4844689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4844689920 is about 69603.8067924449. The cubic root of 4844689920 is about 1692.0842973946.

The spelling of 4844689920 in words is "four billion, eight hundred forty-four million, six hundred eighty-nine thousand, nine hundred twenty".