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66050032 = 2417376563
BaseRepresentation
bin1111101111110…
…1011111110000
311121021200121111
43323331133300
5113402100112
610315403104
71431262456
oct373753760
9147250544
1066050032
1134313404
121a153494
13108b7979
148ab49d6
155bea5a7
hex3efd7f0

66050032 has 40 divisors (see below), whose sum is σ = 139183056. Its totient is φ = 30237696.

The previous prime is 66050027. The next prime is 66050041. The reversal of 66050032 is 23005066.

It is a junction number, because it is equal to n+sod(n) for n = 66049985 and 66050012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6783 + ... + 13345.

Almost surely, 266050032 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 66050032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69591528).

66050032 is an abundant number, since it is smaller than the sum of its proper divisors (73133024).

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

66050032 is a wasteful number, since it uses less digits than its factorization.

66050032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6619 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 66050032 is about 8127.1170780296. The cubic root of 66050032 is about 404.2260930981.

Adding to 66050032 its reverse (23005066), we get a palindrome (89055098).

The spelling of 66050032 in words is "sixty-six million, fifty thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 2516 5032 6563 10064 13126 26252 52504 105008 111571 223142 242831 446284 485662 892568 971324 1785136 1942648 3885296 4128127 8256254 16512508 33025016 66050032