Search a number
-
+
66050028 = 223211259257
BaseRepresentation
bin1111101111110…
…1011111101100
311121021200121100
43323331133230
5113402100103
610315403100
71431262452
oct373753754
9147250540
1066050028
1134313400
121a153490
13108b7975
148ab49d2
155bea5a3
hex3efd7ec

66050028 has 108 divisors (see below), whose sum is σ = 187354440. Its totient is φ = 19599360.

The previous prime is 66050027. The next prime is 66050041. The reversal of 66050028 is 82005066.

It is a junction number, because it is equal to n+sod(n) for n = 66049983 and 66050010.

It is not an unprimeable number, because it can be changed into a prime (66050027) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256876 + ... + 257132.

Almost surely, 266050028 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 66050028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93677220).

66050028 is an abundant number, since it is smaller than the sum of its proper divisors (121304412).

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

66050028 is a wasteful number, since it uses less digits than its factorization.

66050028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 66050028 is about 8127.1168319398. The cubic root of 66050028 is about 404.2260849381.

The spelling of 66050028 in words is "sixty-six million, fifty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 121 132 177 198 236 242 257 354 363 396 484 514 531 649 708 726 771 1028 1062 1089 1298 1452 1542 1947 2124 2178 2313 2596 2827 3084 3894 4356 4626 5654 5841 7139 7788 8481 9252 11308 11682 14278 15163 16962 21417 23364 25443 28556 30326 31097 33924 42834 45489 50886 60652 62194 64251 85668 90978 93291 101772 124388 128502 136467 166793 181956 186582 257004 272934 279873 333586 373164 500379 545868 559746 667172 1000758 1119492 1501137 1834723 2001516 3002274 3669446 5504169 6004548 7338892 11008338 16512507 22016676 33025014 66050028