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66284500 = 2253433083
BaseRepresentation
bin1111110011011…
…0101111010100
311121201121020111
43330312233110
5113432101000
610324412404
71433260162
oct374665724
9147647214
1066284500
1134463587
121a247104
131096a5c9
148b36232
155c44cba
hex3f36bd4

66284500 has 48 divisors (see below), whose sum is σ = 148180032. Its totient is φ = 25888800.

The previous prime is 66284489. The next prime is 66284527. The reversal of 66284500 is 548266.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19959 + ... + 23041.

It is an arithmetic number, because the mean of its divisors is an integer number (3087084).

Almost surely, 266284500 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 66284500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74090016).

66284500 is an abundant number, since it is smaller than the sum of its proper divisors (81895532).

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

66284500 is a wasteful number, since it uses less digits than its factorization.

66284500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 66284500 is about 8141.5293403635. The cubic root of 66284500 is about 404.7038428277.

The spelling of 66284500 in words is "sixty-six million, two hundred eighty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 125 172 215 250 430 500 860 1075 2150 3083 4300 5375 6166 10750 12332 15415 21500 30830 61660 77075 132569 154150 265138 308300 385375 530276 662845 770750 1325690 1541500 2651380 3314225 6628450 13256900 16571125 33142250 66284500