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4287212160 = 273571147617
BaseRepresentation
bin1111111110001001…
…1010101010000000
3102001210010221110120
43333202122222000
532240011242120
61545225500240
7211145462550
oct37742325200
912053127416
104287212160
111900023a50
129b7941680
13534292a3a
142c9559160
151a15aa140
hexff89aa80

4287212160 has 512 divisors, whose sum is σ = 17428193280. Its totient is φ = 870481920.

The previous prime is 4287212123. The next prime is 4287212161. The reversal of 4287212160 is 612127824.

4287212160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4287212161) 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, 6948172 + ... + 6948788.

It is an arithmetic number, because the mean of its divisors is an integer number (34039440).

Almost surely, 24287212160 is an apocalyptic number.

4287212160 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 4287212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714096640).

4287212160 is an abundant number, since it is smaller than the sum of its proper divisors (13140981120).

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

4287212160 is a wasteful number, since it uses less digits than its factorization.

4287212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4287212160 is about 65476.8062751995. The cubic root of 4287212160 is about 1624.5197362589.

Adding to 4287212160 its reverse (612127824), we get a palindrome (4899339984).

The spelling of 4287212160 in words is "four billion, two hundred eighty-seven million, two hundred twelve thousand, one hundred sixty".