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489993408 = 26332331217
BaseRepresentation
bin11101001101001…
…011010011000000
31021011000020121000
4131031023103000
52000414242113
6120342132000
715066606132
oct3515132300
91234006530
10489993408
11231652333
12118121000
137a690538
144910d052
152d03d373
hex1d34b4c0

489993408 has 112 divisors (see below), whose sum is σ = 1447860960. Its totient is φ = 162496512.

The previous prime is 489993391. The next prime is 489993433. The reversal of 489993408 is 804399984.

It is a super-3 number, since 3×4899934083 (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402016 + ... + 403232.

It is an arithmetic number, because the mean of its divisors is an integer number (12927330).

Almost surely, 2489993408 is an apocalyptic number.

489993408 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 489993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723930480).

489993408 is an abundant number, since it is smaller than the sum of its proper divisors (957867552).

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

489993408 is a wasteful number, since it uses less digits than its factorization.

489993408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 489993408 is about 22135.7947225755. The cubic root of 489993408 is about 788.3699809489.

The spelling of 489993408 in words is "four hundred eighty-nine million, nine hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 233 288 432 466 576 699 864 932 1217 1398 1728 1864 2097 2434 2796 3651 3728 4194 4868 5592 6291 7302 7456 8388 9736 10953 11184 12582 14604 14912 16776 19472 21906 22368 25164 29208 32859 33552 38944 43812 44736 50328 58416 65718 67104 77888 87624 100656 116832 131436 134208 175248 201312 233664 262872 283561 350496 402624 525744 567122 700992 850683 1051488 1134244 1701366 2102976 2268488 2552049 3402732 4536976 5104098 6805464 7656147 9073952 10208196 13610928 15312294 18147904 20416392 27221856 30624588 40832784 54443712 61249176 81665568 122498352 163331136 244996704 489993408