Search a number
-
+
2448061056 = 2734789379
BaseRepresentation
bin1001000111101010…
…0111001010000000
320022121110101110000
42101322213022000
520003200423211
61042530240000
7114444114150
oct22172471200
96277411400
102448061056
111046959561
12583a26000
1330024564c
141931b0760
15e4dbb656
hex91ea7280

2448061056 has 320 divisors, whose sum is σ = 8441928000. Its totient is φ = 689762304.

The previous prime is 2448061039. The next prime is 2448061117. The reversal of 2448061056 is 6501608442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2448061056.

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 39 ways as a sum of consecutive naturals, for example, 6459075 + ... + 6459453.

It is an arithmetic number, because the mean of its divisors is an integer number (26381025).

Almost surely, 22448061056 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 2448061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220964000).

2448061056 is an abundant number, since it is smaller than the sum of its proper divisors (5993866944).

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

2448061056 is an equidigital number, since it uses as much as digits as its factorization.

2448061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2448061056 is about 49477.8845141948. The cubic root of 2448061056 is about 1347.7440247486.

Adding to 2448061056 its reverse (6501608442), we get a palindrome (8949669498).

The spelling of 2448061056 in words is "two billion, four hundred forty-eight million, sixty-one thousand, fifty-six".