Search a number
-
+
4028312736 = 25347323197
BaseRepresentation
bin1111000000011011…
…0010110010100000
3101101201222111020000
43300012302302200
531222222001421
61503420420000
7201553044000
oct36006626240
911351874200
104028312736
111787971a88
129450a7600
134c2755706
142a3004000
151889b9226
hexf01b2ca0

4028312736 has 480 divisors, whose sum is σ = 14489798400. Its totient is φ = 1095316992.

The previous prime is 4028312731. The next prime is 4028312789. The reversal of 4028312736 is 6372138204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4028312736.

It is not an unprimeable number, because it can be changed into a prime (4028312731) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 20448190 + ... + 20448386.

It is an arithmetic number, because the mean of its divisors is an integer number (30187080).

Almost surely, 24028312736 is an apocalyptic number.

4028312736 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 4028312736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244899200).

4028312736 is an abundant number, since it is smaller than the sum of its proper divisors (10461485664).

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

4028312736 is a wasteful number, since it uses less digits than its factorization.

4028312736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4028312736 is about 63468.9903496188. The cubic root of 4028312736 is about 1591.1375554755.

It can be divided in two parts, 402 and 8312736, that added together give a palindrome (8313138).

The spelling of 4028312736 in words is "four billion, twenty-eight million, three hundred twelve thousand, seven hundred thirty-six".