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4047441056 = 251767293379
BaseRepresentation
bin1111000100111111…
…0000110010100000
3101110001222022100022
43301033300302200
531242121103211
61505342413012
7202204452461
oct36117606240
911401868308
104047441056
11179774740a
1294b591168
134c66c2149
142a5782d68
1518a4e6bdb
hexf13f0ca0

4047441056 has 96 divisors (see below), whose sum is σ = 8614952640. Its totient is φ = 1864912896.

The previous prime is 4047441043. The next prime is 4047441061. The reversal of 4047441056 is 6501447404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10679075 + ... + 10679453.

It is an arithmetic number, because the mean of its divisors is an integer number (89739090).

Almost surely, 24047441056 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 4047441056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307476320).

4047441056 is an abundant number, since it is smaller than the sum of its proper divisors (4567511584).

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

4047441056 is a wasteful number, since it uses less digits than its factorization.

4047441056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 4047441056 is about 63619.5021671814. The cubic root of 4047441056 is about 1593.6520689978.

The spelling of 4047441056 in words is "four billion, forty-seven million, four hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 67 68 134 136 268 272 293 379 536 544 586 758 1072 1139 1172 1516 2144 2278 2344 3032 4556 4688 4981 6064 6443 9112 9376 9962 12128 12886 18224 19631 19924 25393 25772 36448 39262 39848 50786 51544 78524 79696 101572 103088 111047 157048 159392 203144 206176 222094 314096 333727 406288 431681 444188 628192 667454 812576 863362 888376 1334908 1726724 1776752 1887799 2669816 3453448 3553504 3775598 5339632 6906896 7440149 7551196 10679264 13813792 14880298 15102392 29760596 30204784 59521192 60409568 119042384 126482533 238084768 252965066 505930132 1011860264 2023720528 4047441056