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4228367328 = 253227753003
BaseRepresentation
bin1111110000000111…
…1100001111100000
3101220200102022112100
43330001330033200
532124430223303
61535324330400
7206532346353
oct37401741740
911820368470
104228367328
11187a891a59
129a00a3a00
1352502b803
142c17dc29a
1519b3348a3
hexfc07c3e0

4228367328 has 72 divisors (see below), whose sum is σ = 12068056728. Its totient is φ = 1404340992.

The previous prime is 4228367291. The next prime is 4228367333. The reversal of 4228367328 is 8237638224.

4228367328 is a `hidden beast` number, since 42 + 283 + 6 + 7 + 328 = 666.

4228367328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×42283673283 (a number of 30 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53275 + ... + 106277.

It is an arithmetic number, because the mean of its divisors is an integer number (167611899).

Almost surely, 24228367328 is an apocalyptic number.

4228367328 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 4228367328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034028364).

4228367328 is an abundant number, since it is smaller than the sum of its proper divisors (7839689400).

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

4228367328 is a wasteful number, since it uses less digits than its factorization.

4228367328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53296 (or 53285 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4228367328 is about 65025.8973640503. The cubic root of 4228367328 is about 1617.0529319049.

The spelling of 4228367328 in words is "four billion, two hundred twenty-eight million, three hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 277 288 554 831 1108 1662 2216 2493 3324 4432 4986 6648 8864 9972 13296 19944 26592 39888 53003 79776 106006 159009 212012 318018 424024 477027 636036 848048 954054 1272072 1696096 1908108 2544144 3816216 5088288 7632432 14681831 15264864 29363662 44045493 58727324 88090986 117454648 132136479 176181972 234909296 264272958 352363944 469818592 528545916 704727888 1057091832 1409455776 2114183664 4228367328