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48202854282 = 232111678531709
BaseRepresentation
bin101100111001000111…
…010010111110001010
311121102100011201011100
4230321013102332022
51242204412314112
634051042242230
73324340333602
oct547107227612
9147370151140
1048202854282
1119496288960
129413056376
13471263bbab
142493b9bc02
1513c1c022dc
hexb391d2f8a

48202854282 has 96 divisors (see below), whose sum is σ = 114817772160. Its totient is φ = 14493951360.

The previous prime is 48202854253. The next prime is 48202854313. The reversal of 48202854282 is 28245820284.

48202854282 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 28 + 542 + 82 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28204444 + ... + 28206152.

It is an arithmetic number, because the mean of its divisors is an integer number (1196018460).

Almost surely, 248202854282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48202854282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57408886080).

48202854282 is an abundant number, since it is smaller than the sum of its proper divisors (66614917878).

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

48202854282 is a wasteful number, since it uses less digits than its factorization.

48202854282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 48202854282 in words is "forty-eight billion, two hundred two million, eight hundred fifty-four thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 167 198 334 501 853 1002 1503 1706 1709 1837 2559 3006 3418 3674 5118 5127 5511 7677 9383 10254 11022 15354 15381 16533 18766 18799 28149 30762 33066 37598 56298 56397 84447 112794 142451 168894 169191 284902 285403 338382 427353 570806 854706 856209 1282059 1457777 1566961 1712418 2564118 2568627 2915554 3133922 3139433 4373331 4700883 5137254 6278866 8746662 9401766 9418299 13119993 14102649 16035547 18836598 26239986 28205298 28254897 32071094 48106641 56509794 96213282 144319923 243448759 288639846 486897518 730346277 1460692554 2191038831 2677936349 4382077662 5355872698 8033809047 16067618094 24101427141 48202854282