Search a number
-
+
66218152 = 23711138269
BaseRepresentation
bin1111110010011…
…0100010101000
311121121020020011
43330212202220
5113422440102
610323141304
71432562560
oct374464250
9147536204
1066218152
1134418750
121a214834
1310946350
148b19da0
155c302d7
hex3f268a8

66218152 has 64 divisors (see below), whose sum is σ = 166723200. Its totient is φ = 23811840.

The previous prime is 66218149. The next prime is 66218153. The reversal of 66218152 is 25181266.

66218152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66218153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3874 + ... + 12142.

It is an arithmetic number, because the mean of its divisors is an integer number (2605050).

Almost surely, 266218152 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 66218152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83361600).

66218152 is an abundant number, since it is smaller than the sum of its proper divisors (100505048).

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

66218152 is a wasteful number, since it uses less digits than its factorization.

66218152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8302 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 66218152 is about 8137.4536557820. The cubic root of 66218152 is about 404.5687672341.

The spelling of 66218152 in words is "sixty-six million, two hundred eighteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 8269 16538 33076 57883 66152 90959 107497 115766 181918 214994 231532 363836 429988 463064 636713 727672 752479 859976 1182467 1273426 1504958 2364934 2546852 3009916 4729868 5093704 6019832 8277269 9459736 16554538 33109076 66218152