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4315087296 = 263313476167
BaseRepresentation
bin1000000010011001…
…10000000111000000
3102010201121010222000
410001030300013000
532314130243141
61552103144000
7211634431302
oct40114600700
912121533860
104315087296
111914832a53
12a05145000
13539ca27c0
142cd133972
151a3c645b6
hex1013301c0

4315087296 has 448 divisors, whose sum is σ = 14392412160. Its totient is φ = 1259089920.

The previous prime is 4315087291. The next prime is 4315087319. The reversal of 4315087296 is 6927805134.

4315087296 is a `hidden beast` number, since 431 + 50 + 87 + 2 + 96 = 666.

4315087296 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4315087296 = 643 + 16283 = 6663 + 15903.

4315087296 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4315087291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64404255 + ... + 64404321.

It is an arithmetic number, because the mean of its divisors is an integer number (32125920).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4315087296 = 8630174592, but 3⋅4315087296 = 12945261888 is not.

Almost surely, 24315087296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4315087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196206080).

4315087296 is an abundant number, since it is smaller than the sum of its proper divisors (10077324864).

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

4315087296 is a wasteful number, since it uses less digits than its factorization.

4315087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4315087296 is about 65689.3240641126. The cubic root of 4315087296 is about 1628.0329686430.

The spelling of 4315087296 in words is "four billion, three hundred fifteen million, eighty-seven thousand, two hundred ninety-six".