Search a number
-
+
427959774 = 234113161127
BaseRepresentation
bin11001100000100…
…010010111011110
31002211021121110000
4121200202113132
51334024203044
6110244355130
713414412064
oct3140422736
91084247400
10427959774
111aa632570
12bb3a5aa6
136a880a48
1440ba2034
1527887d69
hex198225de

427959774 has 160 divisors (see below), whose sum is σ = 1106214912. Its totient is φ = 122472000.

The previous prime is 427959767. The next prime is 427959803. The reversal of 427959774 is 477959724.

427959774 is a `hidden beast` number, since 42 + 7 + 9 + 597 + 7 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 427959774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3369699 + ... + 3369825.

Almost surely, 2427959774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427959774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553107456).

427959774 is an abundant number, since it is smaller than the sum of its proper divisors (678255138).

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

427959774 is a wasteful number, since it uses less digits than its factorization.

427959774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 427959774 is about 20687.1886441827. The cubic root of 427959774 is about 753.5885939387.

The spelling of 427959774 in words is "four hundred twenty-seven million, nine hundred fifty-nine thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 61 62 66 81 93 99 122 127 162 183 186 198 254 279 297 341 366 381 549 558 594 671 682 762 837 891 1023 1098 1143 1342 1397 1647 1674 1782 1891 2013 2046 2286 2511 2794 3069 3294 3429 3782 3937 4026 4191 4941 5022 5673 6039 6138 6858 7747 7874 8382 9207 9882 10287 11346 11811 12078 12573 15494 17019 18117 18414 20574 20801 23241 23622 25146 27621 34038 35433 36234 37719 41602 43307 46482 51057 54351 55242 62403 69723 70866 75438 85217 86614 102114 106299 108702 113157 124806 129921 139446 153171 170434 187209 209169 212598 226314 240157 255651 259842 306342 318897 374418 389763 418338 480314 511302 561627 627507 637794 720471 766953 779526 1123254 1169289 1255014 1440942 1533906 1684881 2161413 2300859 2338578 2641727 3369762 3507867 4322826 4601718 5283454 6484239 6902577 7015734 7925181 12968478 13805154 15850362 19452717 23775543 38905434 47551086 71326629 142653258 213979887 427959774