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66489024 = 263761811
BaseRepresentation
bin1111110110100…
…0101011000000
311122002222210110
43331220223000
5114010122044
610333031320
71435101360
oct375505300
9148088713
1066489024
1134593208
121a325540
1310a0c724
148b8a9a0
155c856b9
hex3f68ac0

66489024 has 112 divisors (see below), whose sum is σ = 204598016. Its totient is φ = 18662400.

The previous prime is 66488993. The next prime is 66489043. The reversal of 66489024 is 42098466.

66489024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 81579 + ... + 82389.

It is an arithmetic number, because the mean of its divisors is an integer number (1826768).

Almost surely, 266489024 is an apocalyptic number.

66489024 is a gapful number since it is divisible by the number (64) 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 66489024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102299008).

66489024 is an abundant number, since it is smaller than the sum of its proper divisors (138108992).

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

66489024 is a wasteful number, since it uses less digits than its factorization.

66489024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 66489024 is about 8154.0802056394. The cubic root of 66489024 is about 405.1196598107.

The spelling of 66489024 in words is "sixty-six million, four hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 811 854 976 1281 1344 1464 1622 1708 1952 2433 2562 2928 3244 3416 3904 4866 5124 5677 5856 6488 6832 9732 10248 11354 11712 12976 13664 17031 19464 20496 22708 25952 27328 34062 38928 40992 45416 49471 51904 68124 77856 81984 90832 98942 136248 148413 155712 181664 197884 272496 296826 346297 363328 395768 544992 593652 692594 791536 1038891 1089984 1187304 1385188 1583072 2077782 2374608 2770376 3166144 4155564 4749216 5540752 8311128 9498432 11081504 16622256 22163008 33244512 66489024