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66014442 = 23213221701
BaseRepresentation
bin1111101111010…
…0110011101010
311121012212210100
43323310303222
5113344430232
610314530230
71431053634
oct373646352
9147185710
1066014442
113429969a
121a136976
13108a4700
148aa5a54
155bdec7c
hex3ef4cea

66014442 has 36 divisors (see below), whose sum is σ = 154887174. Its totient is φ = 20311200.

The previous prime is 66014419. The next prime is 66014449. The reversal of 66014442 is 24441066.

It can be written as a sum of positive squares in 3 ways, for example, as 46908801 + 19105641 = 6849^2 + 4371^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66014449) 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 17 ways as a sum of consecutive naturals, for example, 7809 + ... + 13892.

Almost surely, 266014442 is an apocalyptic number.

66014442 is an abundant number, since it is smaller than the sum of its proper divisors (88872732).

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

66014442 is a wasteful number, since it uses less digits than its factorization.

66014442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21735 (or 21719 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 66014442 is about 8124.9271996739. The cubic root of 66014442 is about 404.1534764723.

The spelling of 66014442 in words is "sixty-six million, fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 21701 43402 65103 130206 195309 282113 390618 564226 846339 1692678 2539017 3667469 5078034 7334938 11002407 22004814 33007221 66014442