Search a number
-
+
2988295128 = 23327131493061
BaseRepresentation
bin1011001000011101…
…1100001111011000
321201021000010021100
42302013130033120
522110000421003
61212305311400
7134024042460
oct26207341730
97637003240
102988295128
1112a38a63a5
126b4935560
13388146990
14204c3aba0
15127530ba3
hexb21dc3d8

2988295128 has 192 divisors, whose sum is σ = 10031112000. Its totient is φ = 782576640.

The previous prime is 2988295099. The next prime is 2988295151. The reversal of 2988295128 is 8215928892.

It is a happy number.

2988295128 is a `hidden beast` number, since 29 + 88 + 29 + 512 + 8 = 666.

2988295128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 974718 + ... + 977778.

It is an arithmetic number, because the mean of its divisors is an integer number (52245375).

Almost surely, 22988295128 is an apocalyptic number.

2988295128 is a gapful number since it is divisible by the number (28) 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 2988295128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015556000).

2988295128 is an abundant number, since it is smaller than the sum of its proper divisors (7042816872).

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

2988295128 is a wasteful number, since it uses less digits than its factorization.

2988295128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3235 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 2988295128 is about 54665.3009504201. The cubic root of 2988295128 is about 1440.3714203947.

It can be divided in two parts, 2988 and 295128, that added together give a square (298116 = 5462).

The spelling of 2988295128 in words is "two billion, nine hundred eighty-eight million, two hundred ninety-five thousand, one hundred twenty-eight".