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66444246 = 23311210169
BaseRepresentation
bin1111110101110…
…1101111010110
311122000201101000
43331131233112
5114002203441
610332044130
71434524001
oct375355726
9148021330
1066444246
1134562600
121a303646
13109c522b
148b78538
155c772b6
hex3f5dbd6

66444246 has 48 divisors (see below), whose sum is σ = 162313200. Its totient is φ = 20132640.

The previous prime is 66444227. The next prime is 66444271. The reversal of 66444246 is 64244466.

It is a happy number.

66444246 is a `hidden beast` number, since 6 + 644 + 4 + 2 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 66444246.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1450 + ... + 11618.

It is an arithmetic number, because the mean of its divisors is an integer number (3381525).

Almost surely, 266444246 is an apocalyptic number.

66444246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66444246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81156600).

66444246 is an abundant number, since it is smaller than the sum of its proper divisors (95868954).

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

66444246 is a wasteful number, since it uses less digits than its factorization.

66444246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10202 (or 10185 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 66444246 is about 8151.3340012540. The cubic root of 66444246 is about 405.0286948119.

The spelling of 66444246 in words is "sixty-six million, four hundred forty-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 10169 20338 30507 61014 91521 111859 183042 223718 274563 335577 549126 671154 1006731 1230449 2013462 2460898 3020193 3691347 6040386 7382694 11074041 22148082 33222123 66444246