Search a number
-
+
18586242 = 2321377537
BaseRepresentation
bin100011011100…
…1101010000010
31021222021112100
41012321222002
514224224432
61502211230
7313660203
oct106715202
937867470
1018586242
11a545134
126283b16
133b09a9c
14267b5aa
15197207c
hex11b9a82

18586242 has 24 divisors (see below), whose sum is σ = 40569516. Its totient is φ = 6149376.

The previous prime is 18586229. The next prime is 18586259. The reversal of 18586242 is 24268581.

It can be written as a sum of positive squares in 2 ways, for example, as 18584721 + 1521 = 4311^2 + 39^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18586197 and 18586206.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1303 + ... + 6234.

Almost surely, 218586242 is an apocalyptic number.

18586242 is an abundant number, since it is smaller than the sum of its proper divisors (21983274).

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

18586242 is a wasteful number, since it uses less digits than its factorization.

18586242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 7679 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 18586242 is about 4311.1764055766. The cubic root of 18586242 is about 264.8889626181. Note that the first 3 decimals are identical.

It can be divided in two parts, 1858 and 6242, that added together give a square (8100 = 902).

The spelling of 18586242 in words is "eighteen million, five hundred eighty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 7537 15074 22611 45222 67833 135666 1032569 2065138 3097707 6195414 9293121 18586242