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4872323808 = 2532114347761
BaseRepresentation
bin1001000100110100…
…11100001011100000
3110120120010200202100
410202122130023200
534434303330213
62123250450400
7231512032452
oct44232341340
913516120670
104872323808
112080332aa0
12b3b893a00
135c8577a51
143431482d2
151d7b36773
hex12269c2e0

4872323808 has 288 divisors, whose sum is σ = 15816632832. Its totient is φ = 1409587200.

The previous prime is 4872323803. The next prime is 4872323831. The reversal of 4872323808 is 8083232784.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4872323803) 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 47 ways as a sum of consecutive naturals, for example, 6402148 + ... + 6402908.

It is an arithmetic number, because the mean of its divisors is an integer number (54918864).

Almost surely, 24872323808 is an apocalyptic number.

4872323808 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 4872323808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7908316416).

4872323808 is an abundant number, since it is smaller than the sum of its proper divisors (10944309024).

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

4872323808 is a wasteful number, since it uses less digits than its factorization.

4872323808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4872323808 is about 69802.0329789899. The cubic root of 4872323808 is about 1695.2953900832.

The spelling of 4872323808 in words is "four billion, eight hundred seventy-two million, three hundred twenty-three thousand, eight hundred eight".