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66049506 = 234407713
BaseRepresentation
bin1111101111110…
…1010111100010
311121021122220000
43323331113202
5113402041011
610315400430
71431261105
oct373752742
9147248800
1066049506
1134312a76
121a153116
13108b7663
148ab473c
155bea356
hex3efd5e2

66049506 has 20 divisors (see below), whose sum is σ = 148000182. Its totient is φ = 22016448.

The previous prime is 66049469. The next prime is 66049507. The reversal of 66049506 is 60594066.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 65464281 + 585225 = 8091^2 + 765^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66049507) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 203695 + ... + 204018.

Almost surely, 266049506 is an apocalyptic number.

66049506 is an abundant number, since it is smaller than the sum of its proper divisors (81950676).

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

66049506 is a wasteful number, since it uses less digits than its factorization.

66049506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407727 (or 407718 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66049506 is about 8127.0847171664. The cubic root of 66049506 is about 404.2250200556.

It can be divided in two parts, 6604 and 9506, that added together give a triangular number (16110 = T179).

The spelling of 66049506 in words is "sixty-six million, forty-nine thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 407713 815426 1223139 2446278 3669417 7338834 11008251 22016502 33024753 66049506