Search a number
-
+
66471328 = 2571153509
BaseRepresentation
bin1111110110010…
…0010110100000
311122002002112001
43331210112200
5114004040303
610332413344
71434665650
oct375442640
9148062461
1066471328
1134580990
121a317254
1310a04661
148b84360
155c8031d
hex3f645a0

66471328 has 96 divisors (see below), whose sum is σ = 166561920. Its totient is φ = 25359360.

The previous prime is 66471281. The next prime is 66471331. The reversal of 66471328 is 82317466.

66471328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 130338 + ... + 130846.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 266471328 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 66471328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83280960).

66471328 is an abundant number, since it is smaller than the sum of its proper divisors (100090592).

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

66471328 is a wasteful number, since it uses less digits than its factorization.

66471328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 66471328 is about 8152.9950325019. The cubic root of 66471328 is about 405.0837158650.

The spelling of 66471328 in words is "sixty-six million, four hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 77 88 106 112 154 176 212 224 308 352 371 424 509 583 616 742 848 1018 1166 1232 1484 1696 2036 2332 2464 2968 3563 4072 4081 4664 5599 5936 7126 8144 8162 9328 11198 11872 14252 16288 16324 18656 22396 26977 28504 32648 39193 44792 53954 57008 65296 78386 89584 107908 114016 130592 156772 179168 188839 215816 296747 313544 377678 431632 593494 627088 755356 863264 1186988 1254176 1510712 2077229 2373976 3021424 4154458 4747952 6042848 8308916 9495904 16617832 33235664 66471328