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4683313800 = 233252111959211
BaseRepresentation
bin1000101110010010…
…11011001010001000
3110002101110222202200
410113021123022020
534042412020200
62052415400200
7224025340044
oct42711331210
913071428680
104683313800
111a93676a80
12aa8523060
1359836aac9
14325dc7024
151c624d800
hex11725b288

4683313800 has 576 divisors, whose sum is σ = 18454176000. Its totient is φ = 1052352000.

The previous prime is 4683313793. The next prime is 4683313801. The reversal of 4683313800 is 83133864.

It is a happy number.

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 (4683313801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22195695 + ... + 22195905.

It is an arithmetic number, because the mean of its divisors is an integer number (32038500).

Almost surely, 24683313800 is an apocalyptic number.

4683313800 is a gapful number since it is divisible by the number (40) 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 4683313800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9227088000).

4683313800 is an abundant number, since it is smaller than the sum of its proper divisors (13770862200).

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

4683313800 is a wasteful number, since it uses less digits than its factorization.

4683313800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4683313800 is about 68434.7411772705. The cubic root of 4683313800 is about 1673.0840258975.

The spelling of 4683313800 in words is "four billion, six hundred eighty-three million, three hundred thirteen thousand, eight hundred".