Search a number
-
+
4792901568 = 263713318849
BaseRepresentation
bin1000111011010110…
…11101111111000000
3110101000200121220220
410131223131333000
534303440322233
62111332303040
7226525663650
oct43553357700
913330617826
104792901568
11203a516984
12b19171a80
135b4c8a640
14336792360
151d0b98eb3
hex11daddfc0

4792901568 has 224 divisors, whose sum is σ = 16112947200. Its totient is φ = 1223147520.

The previous prime is 4792901567. The next prime is 4792901593. The reversal of 4792901568 is 8651092974.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4792901568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4792901567) 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 31 ways as a sum of consecutive naturals, for example, 537208 + ... + 546056.

It is an arithmetic number, because the mean of its divisors is an integer number (71932800).

Almost surely, 24792901568 is an apocalyptic number.

4792901568 is a gapful number since it is divisible by the number (48) 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 4792901568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056473600).

4792901568 is an abundant number, since it is smaller than the sum of its proper divisors (11320045632).

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

4792901568 is a wasteful number, since it uses less digits than its factorization.

4792901568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8915 (or 8905 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 4792901568 is about 69230.7848287162. The cubic root of 4792901568 is about 1686.0333857223.

The spelling of 4792901568 in words is "four billion, seven hundred ninety-two million, nine hundred one thousand, five hundred sixty-eight".