Search a number
-
+
66379416 = 2334783709
BaseRepresentation
bin1111110100110…
…1111010011000
311121220102102220
43331031322120
5113443120131
610330424040
71434133665
oct375157230
9147812386
1066379416
1134518924
121a292020
13109a187c
148b5ca6c
155c62e96
hex3f4de98

66379416 has 64 divisors (see below), whose sum is σ = 171763200. Its totient is φ = 21364608.

The previous prime is 66379393. The next prime is 66379421. The reversal of 66379416 is 61497366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93270 + ... + 93978.

It is an arithmetic number, because the mean of its divisors is an integer number (2683800).

Almost surely, 266379416 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 66379416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85881600).

66379416 is an abundant number, since it is smaller than the sum of its proper divisors (105383784).

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

66379416 is a wasteful number, since it uses less digits than its factorization.

66379416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 844 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 66379416 is about 8147.3563810601. The cubic root of 66379416 is about 404.8969224036.

It can be divided in two parts, 66379 and 416, that added together give a triangular number (66795 = T365).

The spelling of 66379416 in words is "sixty-six million, three hundred seventy-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 83 94 141 166 188 249 282 332 376 498 564 664 709 996 1128 1418 1992 2127 2836 3901 4254 5672 7802 8508 11703 15604 17016 23406 31208 33323 46812 58847 66646 93624 99969 117694 133292 176541 199938 235388 266584 353082 399876 470776 706164 799752 1412328 2765809 5531618 8297427 11063236 16594854 22126472 33189708 66379416