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4230418248 = 23327193071439
BaseRepresentation
bin1111110000100111…
…0000111101001000
3101220211021111212100
43330021300331020
532130441340443
61535440313400
7206555650620
oct37411607510
911824244770
104230418248
111880a62931
129a0912860
13525599184
142c1bb3880
1519b5dc3d3
hexfc270f48

4230418248 has 192 divisors, whose sum is σ = 13837824000. Its totient is φ = 1140552576.

The previous prime is 4230418243. The next prime is 4230418271. The reversal of 4230418248 is 8428140324.

4230418248 is a `hidden beast` number, since 4 + 230 + 418 + 2 + 4 + 8 = 666.

4230418248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42304182482 = 35792877106022779008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4230418243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2939113 + ... + 2940551.

It is an arithmetic number, because the mean of its divisors is an integer number (72072000).

Almost surely, 24230418248 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 4230418248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912000).

4230418248 is an abundant number, since it is smaller than the sum of its proper divisors (9607405752).

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

4230418248 is a wasteful number, since it uses less digits than its factorization.

4230418248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4230418248 is about 65041.6654768311. The cubic root of 4230418248 is about 1617.3143338350.

The spelling of 4230418248 in words is "four billion, two hundred thirty million, four hundred eighteen thousand, two hundred forty-eight".