Search a number
-
+
66199842 = 23423109163
BaseRepresentation
bin1111110010001…
…0000100100010
311121120022010000
43330202010202
5113421343332
610322520430
71432455312
oct374420442
9147508100
1066199842
1134405a15
121a206116
131093ac07
148b13442
155c29b7c
hex3f22122

66199842 has 80 divisors (see below), whose sum is σ = 157164480. Its totient is φ = 20785248.

The previous prime is 66199841. The next prime is 66199843. The reversal of 66199842 is 24899166.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66199841) and next prime (66199843).

It is not an unprimeable number, because it can be changed into a prime (66199841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 406053 + ... + 406215.

It is an arithmetic number, because the mean of its divisors is an integer number (1964556).

Almost surely, 266199842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66199842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78582240).

66199842 is an abundant number, since it is smaller than the sum of its proper divisors (90964638).

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

66199842 is a wasteful number, since it uses less digits than its factorization.

66199842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 66199842 is about 8136.3285331899. The cubic root of 66199842 is about 404.5314746551.

It can be divided in two parts, 6619 and 9842, that added together give a palindrome (16461).

The spelling of 66199842 in words is "sixty-six million, one hundred ninety-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 109 138 162 163 207 218 326 327 414 489 621 654 978 981 1242 1467 1863 1962 2507 2934 2943 3726 3749 4401 5014 5886 7498 7521 8802 8829 11247 13203 15042 17658 17767 22494 22563 26406 33741 35534 45126 53301 67482 67689 101223 106602 135378 159903 202446 203067 303669 319806 406134 408641 479709 607338 817282 959418 1225923 1439127 2451846 2878254 3677769 7355538 11033307 22066614 33099921 66199842