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66388192 = 2513295503
BaseRepresentation
bin1111110101000…
…0000011100000
311121220212110221
43331100003200
5113443410232
610330532424
71434201403
oct375200340
9147825427
1066388192
1134524482
121a297114
13109a5870
148b61d3a
155c65897
hex3f500e0

66388192 has 48 divisors (see below), whose sum is σ = 145635840. Its totient is φ = 29578752.

The previous prime is 66388187. The next prime is 66388199. The reversal of 66388192 is 29188366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66388199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9313 + ... + 14815.

It is an arithmetic number, because the mean of its divisors is an integer number (3034080).

Almost surely, 266388192 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 66388192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72817920).

66388192 is an abundant number, since it is smaller than the sum of its proper divisors (79247648).

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

66388192 is a wasteful number, since it uses less digits than its factorization.

66388192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5547 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 66388192 is about 8147.8949428671. The cubic root of 66388192 is about 404.9147653787.

The spelling of 66388192 in words is "sixty-six million, three hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 5503 6032 11006 12064 22012 44024 71539 88048 143078 159587 176096 286156 319174 572312 638348 1144624 1276696 2074631 2289248 2553392 4149262 5106784 8298524 16597048 33194096 66388192