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66849432 = 233131671283
BaseRepresentation
bin1111111100000…
…0101010011000
311122210022011220
43333000222120
5114103140212
610344452040
71441132206
oct377005230
9148708156
1066849432
1134809a71
121a47a020
1310b077a0
148c42076
155d0738c
hex3fc0a98

66849432 has 64 divisors (see below), whose sum is σ = 181198080. Its totient is φ = 20429952.

The previous prime is 66849407. The next prime is 66849439. The reversal of 66849432 is 23494866.

It is a happy number.

66849432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66849439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51463 + ... + 52745.

It is an arithmetic number, because the mean of its divisors is an integer number (2831220).

Almost surely, 266849432 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 66849432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90599040).

66849432 is an abundant number, since it is smaller than the sum of its proper divisors (114348648).

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

66849432 is a wasteful number, since it uses less digits than its factorization.

66849432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 66849432 is about 8176.1501943152. The cubic root of 66849432 is about 405.8503335034.

The spelling of 66849432 in words is "sixty-six million, eight hundred forty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 167 312 334 501 668 1002 1283 1336 2004 2171 2566 3849 4008 4342 5132 6513 7698 8684 10264 13026 15396 16679 17368 26052 30792 33358 50037 52104 66716 100074 133432 200148 214261 400296 428522 642783 857044 1285566 1714088 2571132 2785393 5142264 5570786 8356179 11141572 16712358 22283144 33424716 66849432