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4839035136 = 283132231621
BaseRepresentation
bin1001000000110110…
…11101000100000000
3110111020111110021120
410200123131010000
534402243111021
62120101152240
7230626056105
oct44033350400
913436443246
104839035136
1120635667a1
12b306bb680
135c16c0c00
1433c960aac
151d4c5d2c6
hex1206dd100

4839035136 has 216 divisors, whose sum is σ = 14561096256. Its totient is φ = 1423319040.

The previous prime is 4839035129. The next prime is 4839035137. The reversal of 4839035136 is 6315309384.

It is a super-2 number, since 2×48390351362 = 46832522094885076992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4839035137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2984406 + ... + 2986026.

Almost surely, 24839035136 is an apocalyptic number.

4839035136 is a gapful number since it is divisible by the number (46) 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 4839035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280548128).

4839035136 is an abundant number, since it is smaller than the sum of its proper divisors (9722061120).

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

4839035136 is a wasteful number, since it uses less digits than its factorization.

4839035136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 4839035136 is about 69563.1737056325. The cubic root of 4839035136 is about 1691.4257002804.

The spelling of 4839035136 in words is "four billion, eight hundred thirty-nine million, thirty-five thousand, one hundred thirty-six".