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4063832048 = 241779379499
BaseRepresentation
bin1111001000111001…
…0010011111110000
3101111012211001120002
43302032102133300
531310320111143
61511130005132
7202464000563
oct36216223760
911435731502
104063832048
1117a5a22191
12954b767a8
134c9c10963
142a7a0c4da
1518bb835b8
hexf23927f0

4063832048 has 80 divisors (see below), whose sum is σ = 8481600000. Its totient is φ = 1879428096.

The previous prime is 4063832029. The next prime is 4063832051. The reversal of 4063832048 is 8402383604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8143703 + ... + 8144201.

It is an arithmetic number, because the mean of its divisors is an integer number (106020000).

Almost surely, 24063832048 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 4063832048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240800000).

4063832048 is an abundant number, since it is smaller than the sum of its proper divisors (4417767952).

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

4063832048 is a wasteful number, since it uses less digits than its factorization.

4063832048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 4063832048 is about 63748.1925077096. The cubic root of 4063832048 is about 1595.8004515979.

The spelling of 4063832048 in words is "four billion, sixty-three million, eight hundred thirty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 272 316 379 499 632 758 998 1264 1343 1516 1996 2686 3032 3992 5372 6064 6443 7984 8483 10744 12886 16966 21488 25772 29941 33932 39421 51544 59882 67864 78842 103088 119764 135728 157684 189121 239528 315368 378242 479056 508997 630736 670157 756484 1017994 1340314 1512968 2035988 2680628 3025936 3215057 4071976 5361256 6430114 8143952 10722512 12860228 14940559 25720456 29881118 51440912 59762236 119524472 239048944 253989503 507979006 1015958012 2031916024 4063832048