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66285450 = 232527111913
BaseRepresentation
bin1111110011011…
…0111110001010
311121201122112200
43330312332022
5113432113300
610324421030
71433263020
oct374667612
9147648480
1066285450
1134464270
121a247776
131096ab7a
148b36710
155c45200
hex3f36f8a

66285450 has 144 divisors (see below), whose sum is σ = 222146496. Its totient is φ = 13766400.

The previous prime is 66285449. The next prime is 66285487. The reversal of 66285450 is 5458266.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33694 + ... + 35606.

It is an arithmetic number, because the mean of its divisors is an integer number (1542684).

Almost surely, 266285450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66285450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111073248).

66285450 is an abundant number, since it is smaller than the sum of its proper divisors (155861046).

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

66285450 is a wasteful number, since it uses less digits than its factorization.

66285450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 66285450 is about 8141.5876830014. The cubic root of 66285450 is about 404.7057762451.

The spelling of 66285450 in words is "sixty-six million, two hundred eighty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 30 33 35 42 45 50 55 63 66 70 75 77 90 99 105 110 126 150 154 165 175 198 210 225 231 275 315 330 350 385 450 462 495 525 550 630 693 770 825 990 1050 1155 1386 1575 1650 1913 1925 2310 2475 3150 3465 3826 3850 4950 5739 5775 6930 9565 11478 11550 13391 17217 17325 19130 21043 26782 28695 34434 34650 40173 42086 47825 57390 63129 66955 80346 86085 95650 105215 120519 126258 133910 143475 147301 172170 189387 200865 210430 241038 286950 294602 315645 334775 378774 401730 430425 441903 526075 602595 631290 669550 736505 860850 883806 946935 1004325 1052150 1205190 1325709 1473010 1578225 1893870 2008650 2209515 2651418 3012975 3156450 3682525 4419030 4734675 6025950 6628545 7365050 9469350 11047575 13257090 22095150 33142725 66285450