Search a number
-
+
45459666 = 232717191117
BaseRepresentation
bin1010110101101…
…0100011010010
310011112120221100
42231122203102
543114202131
64302205230
71061254320
oct255324322
9104476840
1045459666
112372a57a
1213283816
139558915
146074d10
153ece7e6
hex2b5a8d2

45459666 has 96 divisors (see below), whose sum is σ = 125573760. Its totient is φ = 11570688.

The previous prime is 45459653. The next prime is 45459679. The reversal of 45459666 is 66695454.

45459666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45459653) and next prime (45459679).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40140 + ... + 41256.

It is an arithmetic number, because the mean of its divisors is an integer number (1308060).

Almost surely, 245459666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45459666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62786880).

45459666 is an abundant number, since it is smaller than the sum of its proper divisors (80114094).

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

45459666 is a wasteful number, since it uses less digits than its factorization.

45459666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1165 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 45459666 is about 6742.3783637527. The cubic root of 45459666 is about 356.8963284405.

The spelling of 45459666 in words is "forty-five million, four hundred fifty-nine thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 399 646 714 798 969 1071 1117 1197 1938 2142 2234 2261 2394 2907 3351 4522 5814 6702 6783 7819 10053 13566 15638 18989 20106 20349 21223 23457 37978 40698 42446 46914 56967 63669 70371 113934 127338 132923 140742 148561 170901 191007 265846 297122 341802 360791 382014 398769 445683 721582 797538 891366 1082373 1196307 1337049 2164746 2392614 2525537 2674098 3247119 5051074 6494238 7576611 15153222 22729833 45459666