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66084852 = 22329533583
BaseRepresentation
bin1111110000010…
…1111111110100
311121100110101010
43330011333310
5113404203402
610320232220
71431466131
oct374057764
9147313333
1066084852
1134337589
121a16b670
13108ca782
148ac3588
155c05a6c
hex3f05ff4

66084852 has 48 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 20861568.

The previous prime is 66084841. The next prime is 66084859. The reversal of 66084852 is 25848066.

It is a self number, because there is not a number n which added to its sum of digits gives 66084852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66084859) by changing a digit.

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, 16653 + ... + 20235.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 266084852 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 66084852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

66084852 is an abundant number, since it is smaller than the sum of its proper divisors (96485388).

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

66084852 is a wasteful number, since it uses less digits than its factorization.

66084852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 66084852 is about 8129.2590068222. The cubic root of 66084852 is about 404.2971134015.

The spelling of 66084852 in words is "sixty-six million, eighty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 1537 3074 3583 4611 6148 7166 9222 10749 14332 18444 21498 42996 103907 189899 207814 311721 379798 415628 569697 623442 759596 1139394 1246884 2278788 5507071 11014142 16521213 22028284 33042426 66084852