Search a number
-
+
55341585 = 32513219383
BaseRepresentation
bin1101001100011…
…1001000010001
310212010122101100
43103013020101
5103131412320
65254055013
71241252505
oct323071021
9125118340
1055341585
1129269a52
121664a469
13b608800
1474c8305
154cd2790
hex34c7211

55341585 has 72 divisors (see below), whose sum is σ = 109624320. Its totient is φ = 25743744.

The previous prime is 55341571. The next prime is 55341619. The reversal of 55341585 is 58514355.

It is a happy number.

It is not a de Polignac number, because 55341585 - 26 = 55341521 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 144304 + ... + 144686.

It is an arithmetic number, because the mean of its divisors is an integer number (1522560).

Almost surely, 255341585 is an apocalyptic number.

It is an amenable number.

55341585 is a deficient number, since it is larger than the sum of its proper divisors (54282735).

55341585 is a wasteful number, since it uses less digits than its factorization.

55341585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 55341585 is about 7439.1924965012. The cubic root of 55341585 is about 381.0809136435.

The spelling of 55341585 in words is "fifty-five million, three hundred forty-one thousand, five hundred eighty-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 169 171 195 247 285 383 507 585 741 845 855 1149 1235 1521 1915 2223 2535 3211 3447 3705 4979 5745 7277 7605 9633 11115 14937 16055 17235 21831 24895 28899 36385 44811 48165 64727 65493 74685 94601 109155 144495 194181 224055 283803 323635 327465 473005 582543 851409 970905 1229813 1419015 2912715 3689439 4257045 6149065 11068317 18447195 55341585