Search a number
-
+
66246656 = 21174621
BaseRepresentation
bin1111110010110…
…1100000000000
311121122200022212
43330231200000
5113424343111
610323521252
71433041640
oct374554000
9147580285
1066246656
1134438103
121a229228
1310956308
148b26520
155c3898b
hex3f2d800

66246656 has 48 divisors (see below), whose sum is σ = 151416720. Its totient is φ = 28385280.

The previous prime is 66246619. The next prime is 66246667. The reversal of 66246656 is 65664266.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12026 + ... + 16646.

It is an arithmetic number, because the mean of its divisors is an integer number (3154515).

Almost surely, 266246656 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 66246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75708360).

66246656 is an abundant number, since it is smaller than the sum of its proper divisors (85170064).

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

66246656 is an equidigital number, since it uses as much as digits as its factorization.

66246656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4630 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The square root of 66246656 is about 8139.2048751705. The cubic root of 66246656 is about 404.6268085896.

The spelling of 66246656 in words is "sixty-six million, two hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4621 7168 9242 14336 18484 32347 36968 64694 73936 129388 147872 258776 295744 517552 591488 1035104 1182976 2070208 2365952 4140416 4731904 8280832 9463808 16561664 33123328 66246656