Search a number
-
+
66715292 = 2273771907
BaseRepresentation
bin1111111001111…
…1111010011100
311122112111011202
43332133322130
5114034342132
610341535032
71440033140
oct376377234
9148474152
1066715292
1134728206
121a414478
1310a8b707
148c09220
155ccc762
hex3f9fe9c

66715292 has 48 divisors (see below), whose sum is σ = 139120128. Its totient is φ = 27397440.

The previous prime is 66715279. The next prime is 66715321. The reversal of 66715292 is 29251766.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 73103 + ... + 74009.

It is an arithmetic number, because the mean of its divisors is an integer number (2898336).

Almost surely, 266715292 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 66715292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69560064).

66715292 is an abundant number, since it is smaller than the sum of its proper divisors (72404836).

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

66715292 is a wasteful number, since it uses less digits than its factorization.

66715292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1024 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 66715292 is about 8167.9429478909. The cubic root of 66715292 is about 405.5786921129.

The spelling of 66715292 in words is "sixty-six million, seven hundred fifteen thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 37 71 74 142 148 259 284 497 518 907 994 1036 1814 1988 2627 3628 5254 6349 10508 12698 18389 25396 33559 36778 64397 67118 73556 128794 134236 234913 257588 450779 469826 901558 939652 1803116 2382689 4765378 9530756 16678823 33357646 66715292