Search a number
-
+
2988211968 = 28327296389
BaseRepresentation
bin1011001000011100…
…0111111100000000
321201020211220012100
42302013013330000
522104440240333
61212303430400
7134023245150
oct26207077400
97636756170
102988211968
1112a3849975
126b48b5400
13388117b81
14204c18760
15127516213
hexb21c7f00

2988211968 has 216 divisors, whose sum is σ = 10187704800. Its totient is φ = 824205312.

The previous prime is 2988211951. The next prime is 2988211969. The reversal of 2988211968 is 8691128892.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2988211969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464518 + ... + 470906.

It is an arithmetic number, because the mean of its divisors is an integer number (47165300).

Almost surely, 22988211968 is an apocalyptic number.

2988211968 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 2988211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093852400).

2988211968 is an abundant number, since it is smaller than the sum of its proper divisors (7199492832).

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

2988211968 is a wasteful number, since it uses less digits than its factorization.

2988211968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6447 (or 6430 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 2988211968 is about 54664.5403163696. The cubic root of 2988211968 is about 1440.3580591086.

The spelling of 2988211968 in words is "two billion, nine hundred eighty-eight million, two hundred eleven thousand, nine hundred sixty-eight".