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66327632 = 2471971439
BaseRepresentation
bin1111110100000…
…1010001010000
311121210210101222
43331001101100
5113434441012
610325344212
71433530010
oct375012120
9147723358
1066327632
1134492a28
121a268068
1310984127
148b47c40
155c52972
hex3f41450

66327632 has 80 divisors (see below), whose sum is σ = 157132800. Its totient is φ = 26490240.

The previous prime is 66327619. The next prime is 66327637. The reversal of 66327632 is 23672366.

It is a junction number, because it is equal to n+sod(n) for n = 66327592 and 66327601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66327637) 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 15 ways as a sum of consecutive naturals, for example, 150869 + ... + 151307.

It is an arithmetic number, because the mean of its divisors is an integer number (1964160).

Almost surely, 266327632 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 66327632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78566400).

66327632 is an abundant number, since it is smaller than the sum of its proper divisors (90805168).

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

66327632 is a wasteful number, since it uses less digits than its factorization.

66327632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its digits is 54432, while the sum is 35.

The square root of 66327632 is about 8144.1777976663. The cubic root of 66327632 is about 404.7916054335.

Adding to 66327632 its reverse (23672366), we get a palindrome (89999998).

The spelling of 66327632 in words is "sixty-six million, three hundred twenty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 71 76 112 133 142 152 266 284 304 439 497 532 568 878 994 1064 1136 1349 1756 1988 2128 2698 3073 3512 3976 5396 6146 7024 7952 8341 9443 10792 12292 16682 18886 21584 24584 31169 33364 37772 49168 58387 62338 66728 75544 116774 124676 133456 151088 218183 233548 249352 436366 467096 498704 592211 872732 934192 1184422 1745464 2368844 3490928 4145477 4737688 8290954 9475376 16581908 33163816 66327632