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66684288 = 2731115787
BaseRepresentation
bin1111111001100…
…0010110000000
311122110220122110
43332120112000
5114032344123
610341135320
71436543556
oct376302600
9148426573
1066684288
1134706990
121a3ba540
1310a7a578
148bdbbd6
155cc3493
hex3f98580

66684288 has 64 divisors (see below), whose sum is σ = 193245120. Its totient is φ = 20206080.

The previous prime is 66684287. The next prime is 66684301. The reversal of 66684288 is 88248666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66684283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3670 + ... + 12117.

It is an arithmetic number, because the mean of its divisors is an integer number (3019455).

Almost surely, 266684288 is an apocalyptic number.

It is an amenable number.

66684288 is an abundant number, since it is smaller than the sum of its proper divisors (126560832).

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

66684288 is a wasteful number, since it uses less digits than its factorization.

66684288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15815 (or 15803 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 66684288 is about 8166.0448198623. The cubic root of 66684288 is about 405.5158553940.

The spelling of 66684288 in words is "sixty-six million, six hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 15787 31574 47361 63148 94722 126296 173657 189444 252592 347314 378888 505184 520971 694628 757776 1010368 1041942 1389256 1515552 2020736 2083884 2778512 3031104 4167768 5557024 6062208 8335536 11114048 16671072 22228096 33342144 66684288