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4281883398 = 2341317199601
BaseRepresentation
bin1111111100111000…
…0101101100000110
3102001102010012210000
43333032011230012
532232130232043
61544515342130
7211052260032
oct37716055406
912042105700
104281883398
1118a8014411
129b5bb1946
13533148420
142c896d1c2
151a0da62d3
hexff385b06

4281883398 has 160 divisors (see below), whose sum is σ = 11013710400. Its totient is φ = 1231718400.

The previous prime is 4281883387. The next prime is 4281883427. The reversal of 4281883398 is 8933881824.

It is a happy number.

4281883398 is a `hidden beast` number, since 428 + 188 + 3 + 39 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7124298 + ... + 7124898.

It is an arithmetic number, because the mean of its divisors is an integer number (68835690).

Almost surely, 24281883398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4281883398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506855200).

4281883398 is an abundant number, since it is smaller than the sum of its proper divisors (6731827002).

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

4281883398 is a wasteful number, since it uses less digits than its factorization.

4281883398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 835 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 4281883398 is about 65436.1016412194. The cubic root of 4281883398 is about 1623.8463951862.

The spelling of 4281883398 in words is "four billion, two hundred eighty-one million, eight hundred eighty-three thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 199 221 234 306 351 398 442 459 597 601 663 702 918 1053 1194 1202 1326 1377 1791 1803 1989 2106 2587 2754 3383 3582 3606 3978 5174 5373 5409 5967 6766 7761 7813 10149 10217 10746 10818 11934 15522 15626 16119 16227 17901 20298 20434 23283 23439 30447 30651 32238 32454 35802 43979 46566 46878 48681 60894 61302 69849 70317 87958 91341 91953 97362 119599 131937 132821 139698 140634 182682 183906 209547 210951 239198 263874 265642 274023 275859 358797 395811 398463 419094 421902 548046 551718 632853 717594 791622 796926 827577 1076391 1187433 1195389 1265706 1554787 1655154 2033183 2152782 2374866 2390778 3109574 3229173 3562299 3586167 4066366 4664361 6099549 6458346 7124598 7172334 9328722 9687519 10758501 12199098 13993083 18298647 19375038 21517002 26431379 27986166 36597294 41979249 52862758 54895941 79294137 83958498 109791882 125937747 158588274 164687823 237882411 251875494 329375646 475764822 713647233 1427294466 2140941699 4281883398