Search a number
-
+
82566981 = 3273167631
BaseRepresentation
bin1001110101111…
…01111101000101
312202100211121100
410322331331011
5132114120411
612105410313
72021544030
oct472757505
9182324540
1082566981
1142674882
1223799999
131414b903
14ad74017
1573ae456
hex4ebdf45

82566981 has 48 divisors (see below), whose sum is σ = 143024128. Its totient is φ = 44906400.

The previous prime is 82566961. The next prime is 82566983. The reversal of 82566981 is 18966528.

82566981 is a `hidden beast` number, since 8 + 2 + 566 + 9 + 81 = 666.

It is not a de Polignac number, because 82566981 - 25 = 82566949 is a prime.

It is a super-2 number, since 2×825669812 = 13634612702908722, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82566983) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 130536 + ... + 131166.

Almost surely, 282566981 is an apocalyptic number.

It is an amenable number.

82566981 is a deficient number, since it is larger than the sum of its proper divisors (60457147).

82566981 is a wasteful number, since it uses less digits than its factorization.

82566981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 739 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 82566981 is about 9086.6374968962. The cubic root of 82566981 is about 435.4471660125.

The spelling of 82566981 in words is "eighty-two million, five hundred sixty-six thousand, nine hundred eighty-one".

Divisors: 1 3 7 9 21 31 63 67 93 201 217 279 469 603 631 651 1407 1893 1953 2077 4221 4417 5679 6231 13251 14539 18693 19561 39753 42277 43617 58683 126831 130851 136927 176049 295939 380493 410781 887817 1232343 1310587 2663451 3931761 9174109 11795283 27522327 82566981