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66748576 = 2523891019
BaseRepresentation
bin1111111010100…
…0000010100000
311122121011211111
43332220002200
5114041423301
610342353104
71440232156
oct376500240
9148534744
1066748576
1134750214
121a42b794
1310aa08cb
148c173d6
155cd7551
hex3fa80a0

66748576 has 48 divisors (see below), whose sum is σ = 138801600. Its totient is φ = 31533568.

The previous prime is 66748567. The next prime is 66748589. The reversal of 66748576 is 67584766.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64995 + ... + 66013.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 266748576 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 66748576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69400800).

66748576 is an abundant number, since it is smaller than the sum of its proper divisors (72053024).

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

66748576 is a wasteful number, since it uses less digits than its factorization.

66748576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1133 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

The square root of 66748576 is about 8169.9801713346. The cubic root of 66748576 is about 405.6461281109.

The spelling of 66748576 in words is "sixty-six million, seven hundred forty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 89 92 178 184 356 368 712 736 1019 1424 2038 2047 2848 4076 4094 8152 8188 16304 16376 23437 32608 32752 46874 65504 90691 93748 181382 187496 362764 374992 725528 749984 1451056 2085893 2902112 4171786 8343572 16687144 33374288 66748576