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498683484 = 2232133137929
BaseRepresentation
bin11101101110010…
…100111001011100
31021202100202010200
4131232110321130
52010130332414
6121252303500
715233511465
oct3556247134
91252322120
10498683484
11236548312
1211b011b90
137c413ab0
144a331d6c
152dba8109
hex1db94e5c

498683484 has 144 divisors (see below), whose sum is σ = 1440741120. Its totient is φ = 144322560.

The previous prime is 498683477. The next prime is 498683509. The reversal of 498683484 is 484386894.

498683484 is a `hidden beast` number, since 4 + 9 + 86 + 83 + 484 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 498683484.

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 47 ways as a sum of consecutive naturals, for example, 536332 + ... + 537260.

Almost surely, 2498683484 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 498683484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720370560).

498683484 is an abundant number, since it is smaller than the sum of its proper divisors (942057636).

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

498683484 is a wasteful number, since it uses less digits than its factorization.

498683484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1015 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 498683484 is about 22331.2221788240. Note that the first 3 decimals coincide. The cubic root of 498683484 is about 793.0033007257.

The spelling of 498683484 in words is "four hundred ninety-eight million, six hundred eighty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 37 39 52 62 74 78 93 111 117 124 148 156 186 222 234 279 333 372 403 444 468 481 558 666 806 929 962 1116 1147 1209 1332 1443 1612 1858 1924 2294 2418 2787 2886 3441 3627 3716 4329 4588 4836 5574 5772 6882 7254 8361 8658 10323 11148 12077 13764 14508 14911 16722 17316 20646 24154 28799 29822 33444 34373 36231 41292 44733 48308 57598 59644 68746 72462 86397 89466 103119 108693 115196 134199 137492 144924 172794 178932 206238 217386 259191 268398 309357 345588 374387 412476 434772 446849 518382 536796 618714 748774 893698 1036764 1065563 1123161 1237428 1340547 1497548 1787396 2131126 2246322 2681094 3196689 3369483 4021641 4262252 4492644 5362188 6393378 6738966 8043282 9590067 12786756 13477932 13852319 16086564 19180134 27704638 38360268 41556957 55409276 83113914 124670871 166227828 249341742 498683484