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2948488128 = 2635238243
BaseRepresentation
bin1010111110111110…
…0101101111000000
321121111002201100000
42233233211233000
522014303110003
61204324200000
7133031510205
oct25757455700
97544081300
102948488128
111283387853
126a3539000
1337cb19c41
141dd837cac
15123cbb1a3
hexafbe5bc0

2948488128 has 168 divisors, whose sum is σ = 9146487168. Its totient is φ = 939983616.

The previous prime is 2948488121. The next prime is 2948488159. The reversal of 2948488128 is 8218848492.

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

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 (2948488121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353575 + ... + 361817.

It is an arithmetic number, because the mean of its divisors is an integer number (54443376).

Almost surely, 22948488128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2948488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573243584).

2948488128 is an abundant number, since it is smaller than the sum of its proper divisors (6197999040).

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

2948488128 is an equidigital number, since it uses as much as digits as its factorization.

2948488128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8271 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 2948488128 is about 54299.9827624282. The cubic root of 2948488128 is about 1433.9470928118.

The spelling of 2948488128 in words is "two billion, nine hundred forty-eight million, four hundred eighty-eight thousand, one hundred twenty-eight".