Search a number
-
+
2423647296 = 2632717191861
BaseRepresentation
bin1001000001110101…
…1110110001000000
320020220112001001200
42100131132301000
514430423203141
61040255101200
7114026443050
oct22035366100
96226461050
102423647296
1110340a40a4
12577811800
132c8178235
1418dc57560
15e2b97ab6
hex9075ec40

2423647296 has 336 divisors, whose sum is σ = 8853586560. Its totient is φ = 617103360.

The previous prime is 2423647271. The next prime is 2423647319. The reversal of 2423647296 is 6927463242.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×24236472962 = 11748132430816223232, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1301406 + ... + 1303266.

It is an arithmetic number, because the mean of its divisors is an integer number (26349960).

Almost surely, 22423647296 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 2423647296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426793280).

2423647296 is an abundant number, since it is smaller than the sum of its proper divisors (6429939264).

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

2423647296 is a wasteful number, since it uses less digits than its factorization.

2423647296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1909 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 2423647296 is about 49230.5524649074. The cubic root of 2423647296 is about 1343.2488362039.

The spelling of 2423647296 in words is "two billion, four hundred twenty-three million, six hundred forty-seven thousand, two hundred ninety-six".