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4048244928 = 26327133457
BaseRepresentation
bin1111000101001011…
…0101000011000000
3101110010111011001100
43301102311003000
531242322314203
61505411534400
7202214341230
oct36122650300
911403434040
104048244928
111798146372
1294b8ba400
134c6914000
142a5911cc0
1518a604ea3
hexf14b50c0

4048244928 has 336 divisors, whose sum is σ = 14397248320. Its totient is φ = 1065332736.

The previous prime is 4048244917. The next prime is 4048244951. The reversal of 4048244928 is 8294428404.

4048244928 is a `hidden beast` number, since 40 + 482 + 44 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

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, 8858076 + ... + 8858532.

Almost surely, 24048244928 is an apocalyptic number.

4048244928 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 4048244928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198624160).

4048244928 is an abundant number, since it is smaller than the sum of its proper divisors (10349003392).

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

4048244928 is a wasteful number, since it uses less digits than its factorization.

4048244928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4048244928 is about 63625.8196646613. The cubic root of 4048244928 is about 1593.7575683701.

The spelling of 4048244928 in words is "four billion, forty-eight million, two hundred forty-four thousand, nine hundred twenty-eight".