Search a number
-
+
474642135 = 3251119109463
BaseRepresentation
bin11100010010100…
…111011011010111
31020002010022121100
4130102213123113
51433002022020
6115033121143
714522251212
oct3422473327
91202108540
10474642135
11223a17730
12112b591b3
1377447046
1447074779
152ba09a90
hex1c4a76d7

474642135 has 96 divisors (see below), whose sum is σ = 955468800. Its totient is φ = 215550720.

The previous prime is 474642121. The next prime is 474642139. The reversal of 474642135 is 531246474.

474642135 is a `hidden beast` number, since 4 + 7 + 4 + 642 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 474642135 - 26 = 474642071 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 474642135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474642139) 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 95 ways as a sum of consecutive naturals, for example, 1024914 + ... + 1025376.

It is an arithmetic number, because the mean of its divisors is an integer number (9952800).

Almost surely, 2474642135 is an apocalyptic number.

474642135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

474642135 is an abundant number, since it is smaller than the sum of its proper divisors (480826665).

474642135 is a wasteful number, since it uses less digits than its factorization.

474642135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 610 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 474642135 is about 21786.2831846095. The cubic root of 474642135 is about 780.0493805029.

The spelling of 474642135 in words is "four hundred seventy-four million, six hundred forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 109 165 171 209 285 327 463 495 545 627 855 981 1045 1199 1389 1635 1881 2071 2315 3135 3597 4167 4905 5093 5995 6213 6945 8797 9405 10355 10791 15279 17985 18639 20835 22781 25465 26391 31065 43985 45837 50467 53955 68343 76395 79173 93195 96767 113905 131955 151401 205029 229185 252335 290301 341715 395865 454203 483835 555137 757005 870903 958873 1025145 1451505 1665411 2271015 2775685 2876619 4354515 4794365 4996233 8327055 8629857 10547603 14383095 24981165 31642809 43149285 52738015 94928427 158214045 474642135