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498285648 = 24337533109
BaseRepresentation
bin11101101100110…
…011110001010000
31021201121112102000
4131230303301100
52010030120043
6121235554000
715230233560
oct3554636120
91251545360
10498285648
112362a6423
1211aa5b900
137c3049a3
144a26ada0
152db2a2d3
hex1db33c50

498285648 has 160 divisors (see below), whose sum is σ = 1665964800. Its totient is φ = 139636224.

The previous prime is 498285607. The next prime is 498285653. The reversal of 498285648 is 846582894.

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

It is a junction number, because it is equal to n+sod(n) for n = 498285594 and 498285603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158718 + ... + 161826.

It is an arithmetic number, because the mean of its divisors is an integer number (10412280).

Almost surely, 2498285648 is an apocalyptic number.

498285648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498285648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832982400).

498285648 is an abundant number, since it is smaller than the sum of its proper divisors (1167679152).

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

498285648 is a wasteful number, since it uses less digits than its factorization.

498285648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3174 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 498285648 is about 22322.3127834013. The cubic root of 498285648 is about 792.7923658651.

It can be divided in two parts, 498 and 285648, that added together give a triangular number (286146 = T756).

The spelling of 498285648 in words is "four hundred ninety-eight million, two hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 53 54 56 63 72 84 106 108 112 126 144 159 168 189 212 216 252 318 336 371 378 424 432 477 504 636 742 756 848 954 1008 1113 1272 1431 1484 1512 1908 2226 2544 2862 2968 3024 3109 3339 3816 4452 5724 5936 6218 6678 7632 8904 9327 10017 11448 12436 13356 17808 18654 20034 21763 22896 24872 26712 27981 37308 40068 43526 49744 53424 55962 65289 74616 80136 83943 87052 111924 130578 149232 160272 164777 167886 174104 195867 223848 261156 329554 335772 348208 391734 447696 494331 522312 587601 659108 671544 783468 988662 1044624 1153439 1175202 1318216 1343088 1482993 1566936 1977324 2306878 2350404 2636432 2965986 3133872 3460317 3954648 4448979 4613756 4700808 5931972 6920634 7909296 8897958 9227512 9401616 10380951 11863944 13841268 17795916 18455024 20761902 23727888 27682536 31142853 35591832 41523804 55365072 62285706 71183664 83047608 124571412 166095216 249142824 498285648