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66084576 = 2531740493
BaseRepresentation
bin1111110000010…
…1111011100000
311121100102222220
43330011323200
5113404201301
610320231040
71431465255
oct374057340
9147312886
1066084576
1134337358
121a16b480
13108ca5cc
148ac342c
155c05936
hex3f05ee0

66084576 has 48 divisors (see below), whose sum is σ = 183680784. Its totient is φ = 20731904.

The previous prime is 66084569. The next prime is 66084583. The reversal of 66084576 is 67548066.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66084569) and next prime (66084583).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18615 + ... + 21878.

It is an arithmetic number, because the mean of its divisors is an integer number (3826683).

Almost surely, 266084576 is an apocalyptic number.

It is an amenable number.

66084576 is an abundant number, since it is smaller than the sum of its proper divisors (117596208).

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

66084576 is a wasteful number, since it uses less digits than its factorization.

66084576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40523 (or 40515 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 66084576 is about 8129.2420310875. The cubic root of 66084576 is about 404.2965505586.

The spelling of 66084576 in words is "sixty-six million, eighty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 40493 80986 121479 161972 242958 323944 485916 647888 688381 971832 1295776 1376762 1943664 2065143 2753524 3887328 4130286 5507048 8260572 11014096 16521144 22028192 33042288 66084576