Search a number
-
+
5828484000 = 253531728571
BaseRepresentation
bin1010110110110011…
…11001101110100000
3120001012022122221210
411123121321232200
543414042442000
62402204350120
7264302203503
oct53331715640
916035278853
105828484000
112521033329
121167b45340
1371b6a5701
143d412313a
15241a58350
hex15b679ba0

5828484000 has 192 divisors, whose sum is σ = 20218004352. Its totient is φ = 1462784000.

The previous prime is 5828483963. The next prime is 5828484019. The reversal of 5828484000 is 4848285.

It is a self number, because there is not a number n which added to its sum of digits gives 5828484000.

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, 189715 + ... + 218285.

It is an arithmetic number, because the mean of its divisors is an integer number (105302106).

Almost surely, 25828484000 is an apocalyptic number.

5828484000 is a gapful number since it is divisible by the number (50) 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 5828484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10109002176).

5828484000 is an abundant number, since it is smaller than the sum of its proper divisors (14389520352).

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

5828484000 is a wasteful number, since it uses less digits than its factorization.

5828484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28616 (or 28598 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 5828484000 is about 76344.5086433857. The cubic root of 5828484000 is about 1799.6381988876.

The spelling of 5828484000 in words is "five billion, eight hundred twenty-eight million, four hundred eighty-four thousand".