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66162208 = 257436869
BaseRepresentation
bin1111110001100…
…0111000100000
311121111101111011
43330120320200
5113414142313
610322030304
71432240510
oct374307040
9147441434
1066162208
113438a712
121a1a8394
1310926a48
148b03840
155c1d93d
hex3f18e20

66162208 has 48 divisors (see below), whose sum is σ = 152349120. Its totient is φ = 27691776.

The previous prime is 66162203. The next prime is 66162221. The reversal of 66162208 is 80226166.

It is a self number, because there is not a number n which added to its sum of digits gives 66162208.

It is not an unprimeable number, because it can be changed into a prime (66162203) 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, 6198 + ... + 13066.

It is an arithmetic number, because the mean of its divisors is an integer number (3173940).

Almost surely, 266162208 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 66162208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76174560).

66162208 is an abundant number, since it is smaller than the sum of its proper divisors (86186912).

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

66162208 is a wasteful number, since it uses less digits than its factorization.

66162208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 66162208 is about 8134.0154905188. The cubic root of 66162208 is about 404.4548026526.

The spelling of 66162208 in words is "sixty-six million, one hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 6869 9632 13738 27476 48083 54952 96166 109904 192332 219808 295367 384664 590734 769328 1181468 1538656 2067569 2362936 4135138 4725872 8270276 9451744 16540552 33081104 66162208