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66000976 = 248946349
BaseRepresentation
bin1111101111000…
…1100001010000
311121012012022121
43323301201100
5113344012401
610314344024
71430666446
oct373614120
9147165277
1066000976
113428a568
121a12b014
131089b542
148aa0b96
155bdaca1
hex3ef1850

66000976 has 20 divisors (see below), whose sum is σ = 129316500. Its totient is φ = 32628992.

The previous prime is 66000973. The next prime is 66000989. The reversal of 66000976 is 67900066.

66000976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12418576 + 53582400 = 3524^2 + 7320^2 .

It is a super-2 number, since 2×660009762 = 8712257665905152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66000971) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 21751 + ... + 24598.

It is an arithmetic number, because the mean of its divisors is an integer number (6465825).

Almost surely, 266000976 is an apocalyptic number.

It is an amenable number.

66000976 is a deficient number, since it is larger than the sum of its proper divisors (63315524).

66000976 is a wasteful number, since it uses less digits than its factorization.

66000976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46446 (or 46440 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 66000976 is about 8124.0984730615. The cubic root of 66000976 is about 404.1259940980.

The spelling of 66000976 in words is "sixty-six million, nine hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 4 8 16 89 178 356 712 1424 46349 92698 185396 370792 741584 4125061 8250122 16500244 33000488 66000976