[go: up one dir, main page]

Search a number
-
+
4304575968 = 2537112167317
BaseRepresentation
bin1000000001001001…
…01001110111100000
3102002222211010010120
410000210221313200
532303432412333
61551050000240
7211446202110
oct40044516740
912088733116
104304575968
111909903700
12a01716080
13537a62294
142cb999040
151a2d89db3
hex100929de0

4304575968 has 288 divisors, whose sum is σ = 14324470272. Its totient is φ = 1107870720.

The previous prime is 4304575921. The next prime is 4304575991. The reversal of 4304575968 is 8695754034.

It is a self number, because there is not a number n which added to its sum of digits gives 4304575968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13578946 + ... + 13579262.

It is an arithmetic number, because the mean of its divisors is an integer number (49737744).

Almost surely, 24304575968 is an apocalyptic number.

4304575968 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 4304575968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162235136).

4304575968 is an abundant number, since it is smaller than the sum of its proper divisors (10019894304).

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

4304575968 is a wasteful number, since it uses less digits than its factorization.

4304575968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The square root of 4304575968 is about 65609.2673941723. The cubic root of 4304575968 is about 1626.7099592826.

The spelling of 4304575968 in words is "four billion, three hundred four million, five hundred seventy-five thousand, nine hundred sixty-eight".