Search a number
-
+
4513480704 = 2143419179
BaseRepresentation
bin1000011010000011…
…00100000000000000
3102122112220120120000
410031001210000000
533220422340304
62023511320000
7216563644605
oct41501440000
912575816500
104513480704
111a06818947
12a5b680000
1356c116755
1430b6186ac
151b63a2939
hex10d064000

4513480704 has 300 divisors, whose sum is σ = 14273305200. Its totient is φ = 1417347072.

The previous prime is 4513480687. The next prime is 4513480709. The reversal of 4513480704 is 4070843154.

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

It is not an unprimeable number, because it can be changed into a prime (4513480709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25214887 + ... + 25215065.

It is an arithmetic number, because the mean of its divisors is an integer number (47577684).

Almost surely, 24513480704 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 4513480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136652600).

4513480704 is an abundant number, since it is smaller than the sum of its proper divisors (9759824496).

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

4513480704 is an equidigital number, since it uses as much as digits as its factorization.

4513480704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4513480704 is about 67182.4434208819. The cubic root of 4513480704 is about 1652.6105847813.

The spelling of 4513480704 in words is "four billion, five hundred thirteen million, four hundred eighty thousand, seven hundred four".