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4082254848 = 2103477989
BaseRepresentation
bin1111001101010010…
…0100010000000000
3101112111111000220000
43303110210100000
531330024123343
61513024520000
7203106410430
oct36324442000
911474430800
104082254848
111805365541
1295b180000
13500991219
142aa2462c0
1518d5c1ed3
hexf3524400

4082254848 has 440 divisors, whose sum is σ = 14266771200. Its totient is φ = 1138655232.

The previous prime is 4082254793. The next prime is 4082254873. The reversal of 4082254848 is 8484522804.

4082254848 is a `hidden beast` number, since 40 + 8 + 22 + 548 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 45867988 + ... + 45868076.

It is an arithmetic number, because the mean of its divisors is an integer number (32424480).

Almost surely, 24082254848 is an apocalyptic number.

4082254848 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 4082254848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133385600).

4082254848 is an abundant number, since it is smaller than the sum of its proper divisors (10184516352).

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

4082254848 is an equidigital number, since it uses as much as digits as its factorization.

4082254848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 4082254848 is about 63892.5257600605. The cubic root of 4082254848 is about 1598.2082609601.

The spelling of 4082254848 in words is "four billion, eighty-two million, two hundred fifty-four thousand, eight hundred forty-eight".