Search a number
-
+
3052478880 = 25325111071801
BaseRepresentation
bin1011010111110001…
…0010000110100000
321212201202222211100
42311330102012200
522222413311010
61222521114400
7135433433223
oct26574220640
97781688740
103052478880
111327054620
12712328a00
1339852a029
1420d5875ba
1512cead2c0
hexb5f121a0

3052478880 has 288 divisors, whose sum is σ = 11476116288. Its totient is φ = 732672000.

The previous prime is 3052478777. The next prime is 3052478881. The reversal of 3052478880 is 888742503.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3052478881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693980 + ... + 1695780.

It is an arithmetic number, because the mean of its divisors is an integer number (39847626).

Almost surely, 23052478880 is an apocalyptic number.

3052478880 is a gapful number since it is divisible by the number (30) 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 3052478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738058144).

3052478880 is an abundant number, since it is smaller than the sum of its proper divisors (8423637408).

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

3052478880 is a wasteful number, since it uses less digits than its factorization.

3052478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3052478880 is about 55249.2432527361. The cubic root of 3052478880 is about 1450.6107423219.

The spelling of 3052478880 in words is "three billion, fifty-two million, four hundred seventy-eight thousand, eight hundred eighty".