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4050368928 = 253319251983
BaseRepresentation
bin1111000101101011…
…1011100110100000
3101110021111001122000
43301122323212200
531243343301203
61505525244000
7202241365524
oct36132734640
911407431560
104050368928
111799367141
12950563600
134c71a8a08
142a5d05d84
1518a8c44a3
hexf16bb9a0

4050368928 has 192 divisors, whose sum is σ = 12497587200. Its totient is φ = 1272672000.

The previous prime is 4050368923. The next prime is 4050369007. The reversal of 4050368928 is 8298630504.

4050368928 is a `hidden beast` number, since 40 + 503 + 6 + 89 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (4050368923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4119925 + ... + 4120907.

It is an arithmetic number, because the mean of its divisors is an integer number (65091600).

Almost surely, 24050368928 is an apocalyptic number.

4050368928 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 4050368928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248793600).

4050368928 is an abundant number, since it is smaller than the sum of its proper divisors (8447218272).

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

4050368928 is a wasteful number, since it uses less digits than its factorization.

4050368928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4050368928 is about 63642.5088128996. The cubic root of 4050368928 is about 1594.0362528600.

The spelling of 4050368928 in words is "four billion, fifty million, three hundred sixty-eight thousand, nine hundred twenty-eight".