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66136248 = 23327312583
BaseRepresentation
bin1111110001001…
…0100010111000
311121110001212200
43330102202320
5113412324443
610321310200
71432102023
oct374224270
9147401780
1066136248
1134372162
121a195360
1310917c99
148ad81ba
155c15dd3
hex3f128b8

66136248 has 48 divisors (see below), whose sum is σ = 181587120. Its totient is φ = 21741696.

The previous prime is 66136219. The next prime is 66136289. The reversal of 66136248 is 84263166.

66136248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1036 + ... + 11547.

It is an arithmetic number, because the mean of its divisors is an integer number (3783065).

Almost surely, 266136248 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 66136248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90793560).

66136248 is an abundant number, since it is smaller than the sum of its proper divisors (115450872).

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

66136248 is a wasteful number, since it uses less digits than its factorization.

66136248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12668 (or 12661 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 66136248 is about 8132.4195661562. The cubic root of 66136248 is about 404.4018972224.

The spelling of 66136248 in words is "sixty-six million, one hundred thirty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 12583 25166 37749 50332 75498 100664 113247 150996 226494 301992 452988 905976 918559 1837118 2755677 3674236 5511354 7348472 8267031 11022708 16534062 22045416 33068124 66136248