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483107040 = 2532513131197
BaseRepresentation
bin11100110010111…
…010000011100000
31020200001101021100
4130302322003200
51442133411130
6115534354400
714654225223
oct3462720340
91220041240
10483107040
11228779519
1211595ba00
137911bc70
14482395ba
152c62cc60
hex1ccba0e0

483107040 has 288 divisors, whose sum is σ = 1798052256. Its totient is φ = 117411840.

The previous prime is 483107017. The next prime is 483107047. The reversal of 483107040 is 40701384.

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

It is a junction number, because it is equal to n+sod(n) for n = 483106995 and 483107013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483107047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2452222 + ... + 2452418.

It is an arithmetic number, because the mean of its divisors is an integer number (6243237).

Almost surely, 2483107040 is an apocalyptic number.

483107040 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 483107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899026128).

483107040 is an abundant number, since it is smaller than the sum of its proper divisors (1314945216).

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

483107040 is a wasteful number, since it uses less digits than its factorization.

483107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 483107040 is about 21979.6960852510. The cubic root of 483107040 is about 784.6592920154.

The spelling of 483107040 in words is "four hundred eighty-three million, one hundred seven thousand, forty".