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4457014848 = 26331113171061
BaseRepresentation
bin1000010011010100…
…01010011001000000
3102111121122210222000
410021222022121000
533111443433343
62014133144000
7215310000246
oct41152123100
912447583860
104457014848
111987961250
12a4478b000
135605062c0
14303d1a796
151b144bed3
hex109a8a640

4457014848 has 448 divisors, whose sum is σ = 16314359040. Its totient is φ = 1172275200.

The previous prime is 4457014789. The next prime is 4457014853. The reversal of 4457014848 is 8484107544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4200238 + ... + 4201298.

It is an arithmetic number, because the mean of its divisors is an integer number (36415980).

Almost surely, 24457014848 is an apocalyptic number.

4457014848 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 4457014848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157179520).

4457014848 is an abundant number, since it is smaller than the sum of its proper divisors (11857344192).

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

4457014848 is a wasteful number, since it uses less digits than its factorization.

4457014848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The square root of 4457014848 is about 66760.8781248419. The cubic root of 4457014848 is about 1645.6899878605.

The spelling of 4457014848 in words is "four billion, four hundred fifty-seven million, fourteen thousand, eight hundred forty-eight".