Search a number
-
+
41288585 = 5137972
BaseRepresentation
bin1001110110000…
…0001110001001
32212200200021212
42131200032021
541032213320
64032542505
71010642612
oct235401611
985620255
1041288585
11213407a8
12119b1a35
138728220
1456aac09
1539589c5
hex2760389

41288585 has 12 divisors (see below), whose sum is σ = 53424588. Its totient is φ = 30451776.

The previous prime is 41288567. The next prime is 41288587. The reversal of 41288585 is 58588214.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3182656 + 38105929 = 1784^2 + 6173^2 .

It is not a de Polignac number, because 41288585 - 28 = 41288329 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41288587) 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 11 ways as a sum of consecutive naturals, for example, 51407 + ... + 52203.

It is an arithmetic number, because the mean of its divisors is an integer number (4452049).

Almost surely, 241288585 is an apocalyptic number.

It is an amenable number.

41288585 is a deficient number, since it is larger than the sum of its proper divisors (12136003).

41288585 is an frugal number, since it uses more digits than its factorization.

41288585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 815 counting only the distinct ones).

The product of its digits is 102400, while the sum is 41.

The square root of 41288585 is about 6425.6194253939. The cubic root of 41288585 is about 345.6288607273.

The spelling of 41288585 in words is "forty-one million, two hundred eighty-eight thousand, five hundred eighty-five".

Divisors: 1 5 13 65 797 3985 10361 51805 635209 3176045 8257717 41288585