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4249782328 = 2311217212551
BaseRepresentation
bin1111110101001110…
…1000100000111000
3101222011201022101111
43331103220200320
532200421013303
61541411330104
7210212360641
oct37523504070
911864638344
104249782328
111890989400
129a72b0934
135295b8ccc
142c45b46c8
1519d164b6d
hexfd4e8838

4249782328 has 48 divisors (see below), whose sum is σ = 8767115280. Its totient is φ = 1929840000.

The previous prime is 4249782311. The next prime is 4249782337. The reversal of 4249782328 is 8232879424.

4249782328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1664653 + ... + 1667203.

It is an arithmetic number, because the mean of its divisors is an integer number (182648235).

Almost surely, 24249782328 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 4249782328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383557640).

4249782328 is an abundant number, since it is smaller than the sum of its proper divisors (4517332952).

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

4249782328 is a wasteful number, since it uses less digits than its factorization.

4249782328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4285 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

The square root of 4249782328 is about 65190.3545626192. The cubic root of 4249782328 is about 1619.7782463321.

The spelling of 4249782328 in words is "four billion, two hundred forty-nine million, seven hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1721 2551 3442 5102 6884 10204 13768 18931 20408 28061 37862 56122 75724 112244 151448 208241 224488 308671 416482 617342 832964 1234684 1665928 2469368 4390271 8780542 17561084 35122168 48292981 96585962 193171924 386343848 531222791 1062445582 2124891164 4249782328