Search a number
-
+
42221585 = 5743517
BaseRepresentation
bin1010000100010…
…0000000010001
32221110002010102
42201010000101
541302042320
64104542145
71021610000
oct241040021
987402112
1042221585
112191877a
1212181955
138993ab3
145870c37
153a90175
hex2844011

42221585 has 20 divisors (see below), whose sum is σ = 59123508. Its totient is φ = 28943712.

The previous prime is 42221579. The next prime is 42221587. The reversal of 42221585 is 58512224.

It can be written as a sum of positive squares in 2 ways, for example, as 30118144 + 12103441 = 5488^2 + 3479^2 .

It is not a de Polignac number, because 42221585 - 210 = 42220561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42221587) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10247 + ... + 13763.

Almost surely, 242221585 is an apocalyptic number.

It is an amenable number.

42221585 is a deficient number, since it is larger than the sum of its proper divisors (16901923).

42221585 is an frugal number, since it uses more digits than its factorization.

42221585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3529 counting only the distinct ones).

The product of its digits is 6400, while the sum is 29.

The square root of 42221585 is about 6497.8138631389. The cubic root of 42221585 is about 348.2128905013.

The spelling of 42221585 in words is "forty-two million, two hundred twenty-one thousand, five hundred eighty-five".

Divisors: 1 5 7 35 49 245 343 1715 2401 3517 12005 17585 24619 123095 172333 861665 1206331 6031655 8444317 42221585