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4539988440 = 2335513193161
BaseRepresentation
bin1000011101001101…
…01011100111011000
3102201101210022100000
410032212223213120
533244214112230
62030255413000
7220335156621
oct41646534730
912641708300
104539988440
111a1a783569
12a68524160
13574767cc0
14310d58a48
151b888bb60
hex10e9ab9d8

4539988440 has 768 divisors, whose sum is σ = 18198835200. Its totient is φ = 1007769600.

The previous prime is 4539988361. The next prime is 4539988447. The reversal of 4539988440 is 448899354.

It is a super-2 number, since 2×45399884402 = 41222990070667267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4539988447) 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 191 ways as a sum of consecutive naturals, for example, 74426010 + ... + 74426070.

It is an arithmetic number, because the mean of its divisors is an integer number (23696400).

Almost surely, 24539988440 is an apocalyptic number.

4539988440 is a gapful number since it is divisible by the number (40) 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 4539988440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099417600).

4539988440 is an abundant number, since it is smaller than the sum of its proper divisors (13658846760).

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

4539988440 is a wasteful number, since it uses less digits than its factorization.

4539988440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 4539988440 is about 67379.4363288979. The cubic root of 4539988440 is about 1655.8395402182.

The spelling of 4539988440 in words is "four billion, five hundred thirty-nine million, nine hundred eighty-eight thousand, four hundred forty".