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484749846 = 2347279773
BaseRepresentation
bin11100111001001…
…011001000010110
31020210010211210000
4130321023020112
51443043443341
6120033512130
715004206600
oct3471131026
91223124700
10484749846
112296a0809
12116412646
1379575939
1448546170
152c8548b6
hex1ce4b216

484749846 has 120 divisors (see below), whose sum is σ = 1281186720. Its totient is φ = 136569888.

The previous prime is 484749833. The next prime is 484749887. The reversal of 484749846 is 648947484.

484749846 is a `hidden beast` number, since 48 + 474 + 98 + 46 = 666.

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

Its product of digits (6193152) is a multiple of the sum of its prime divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 484749792 and 484749801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 626716 + ... + 627488.

It is an arithmetic number, because the mean of its divisors is an integer number (10676556).

Almost surely, 2484749846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484749846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640593360).

484749846 is an abundant number, since it is smaller than the sum of its proper divisors (796436874).

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

484749846 is a wasteful number, since it uses less digits than its factorization.

484749846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 864 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 484749846 is about 22017.0353590123. The cubic root of 484749846 is about 785.5476973512.

The spelling of 484749846 in words is "four hundred eighty-four million, seven hundred forty-nine thousand, eight hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 79 81 98 126 147 158 162 189 237 294 378 441 474 553 567 711 773 882 1106 1134 1323 1422 1546 1659 2133 2319 2646 3318 3871 3969 4266 4638 4977 5411 6399 6957 7742 7938 9954 10822 11613 12798 13914 14931 16233 20871 23226 29862 32466 34839 37877 41742 44793 48699 61067 62613 69678 75754 89586 97398 104517 113631 122134 125226 146097 183201 209034 227262 292194 313551 340893 366402 427469 438291 549603 627102 681786 854938 876582 1022679 1099206 1282407 1648809 2045358 2564814 2992283 3068037 3297618 3847221 4946427 5984566 6136074 7694442 8976849 9892854 11541663 17953698 23083326 26930547 34624989 53861094 69249978 80791641 161583282 242374923 484749846