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66050082 = 23271134639
BaseRepresentation
bin1111101111110…
…1100000100010
311121021200200100
43323331200202
5113402100312
610315403230
71431262560
oct373754042
9147250610
1066050082
113431344a
121a153516
13108b79b7
148ab4a30
155bea5dc
hex3efd822

66050082 has 48 divisors (see below), whose sum is σ = 165035520. Its totient is φ = 18700416.

The previous prime is 66050077. The next prime is 66050167. The reversal of 66050082 is 28005066.

It is a super-2 number, since 2×660500822 = 8725226664413448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11919 + ... + 16557.

It is an arithmetic number, because the mean of its divisors is an integer number (3438240).

Almost surely, 266050082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66050082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82517760).

66050082 is an abundant number, since it is smaller than the sum of its proper divisors (98985438).

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

66050082 is a wasteful number, since it uses less digits than its factorization.

66050082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4764 counting only the distinct ones).

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

The square root of 66050082 is about 8127.1201541505. The cubic root of 66050082 is about 404.2261950981.

The spelling of 66050082 in words is "sixty-six million, fifty thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1582 2034 2373 4639 4746 7119 9278 13917 14238 27834 32473 41751 64946 83502 97419 194838 292257 524207 584514 1048414 1572621 3145242 3669449 4717863 7338898 9435726 11008347 22016694 33025041 66050082