Search a number
-
+
2423086848 = 283272132127
BaseRepresentation
bin1001000001101101…
…0101111100000000
320020212110120021100
42100123111330000
514430302234343
61040235054400
7114021620100
oct22033257400
96225416240
102423086848
111033851016
125775a1400
132c8010100
1418db4d200
15e2ad69d3
hex906d5f00

2423086848 has 486 divisors, whose sum is σ = 8869521024. Its totient is φ = 634023936.

The previous prime is 2423086843. The next prime is 2423086849. The reversal of 2423086848 is 8486803242.

2423086848 is a `hidden beast` number, since 242 + 308 + 68 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423086843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19079361 + ... + 19079487.

Almost surely, 22423086848 is an apocalyptic number.

2423086848 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 2423086848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434760512).

2423086848 is an abundant number, since it is smaller than the sum of its proper divisors (6446434176).

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

2423086848 is a wasteful number, since it uses less digits than its factorization.

2423086848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2423086848 is about 49224.8600607457. The cubic root of 2423086848 is about 1343.1452898999.

The spelling of 2423086848 in words is "two billion, four hundred twenty-three million, eighty-six thousand, eight hundred forty-eight".