Search a number
-
+
66474876 = 223132397191
BaseRepresentation
bin1111110110010…
…1001101111100
311122002021101110
43331211031330
5114004144001
610332442020
71435012206
oct375451574
9148067343
1066474876
1134583616
121a319310
1310a06160
148b85776
155c813d6
hex3f6537c

66474876 has 96 divisors (see below), whose sum is σ = 177020928. Its totient is φ = 19261440.

The previous prime is 66474857. The next prime is 66474883. The reversal of 66474876 is 67847466.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347941 + ... + 348131.

It is an arithmetic number, because the mean of its divisors is an integer number (1843968).

Almost surely, 266474876 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 66474876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88510464).

66474876 is an abundant number, since it is smaller than the sum of its proper divisors (110546052).

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

66474876 is a wasteful number, since it uses less digits than its factorization.

66474876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 66474876 is about 8153.2126183487. The cubic root of 66474876 is about 405.0909230399.

The spelling of 66474876 in words is "sixty-six million, four hundred seventy-four thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 97 138 156 191 194 276 291 299 382 388 573 582 598 764 897 1146 1164 1196 1261 1794 2231 2292 2483 2522 3588 3783 4393 4462 4966 5044 6693 7449 7566 8786 8924 9932 13179 13386 14898 15132 17572 18527 26358 26772 29003 29796 37054 52716 55581 57109 58006 74108 87009 111162 114218 116012 171327 174018 222324 228436 240851 342654 348036 426121 481702 685308 722553 852242 963404 1278363 1445106 1704484 2556726 2890212 5113452 5539573 11079146 16618719 22158292 33237438 66474876