Search a number
-
+
426144654 = 2321321973101
BaseRepresentation
bin11001011001100…
…111001110001110
31002200212101120100
4121121213032032
51333043112104
6110141431530
713363112145
oct3131471616
91080771510
10426144654
111a9602871
12ba86b5a6
136a396800
144084c75c
152762a139
hex1966738e

426144654 has 144 divisors (see below), whose sum is σ = 1077401520. Its totient is φ = 121305600.

The previous prime is 426144643. The next prime is 426144679. The reversal of 426144654 is 456441624.

It is a super-2 number, since 2×4261446542 = 363198532265559432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4219204 + ... + 4219304.

It is an arithmetic number, because the mean of its divisors is an integer number (7481955).

Almost surely, 2426144654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426144654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538700760).

426144654 is an abundant number, since it is smaller than the sum of its proper divisors (651256866).

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

426144654 is a wasteful number, since it uses less digits than its factorization.

426144654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 426144654 is about 20643.2713977218. The cubic root of 426144654 is about 752.5216773555.

The spelling of 426144654 in words is "four hundred twenty-six million, one hundred forty-four thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 73 78 101 114 117 146 169 171 202 219 234 247 303 338 342 438 494 507 606 657 741 909 949 1014 1313 1314 1387 1482 1521 1818 1898 1919 2223 2626 2774 2847 3042 3211 3838 3939 4161 4446 5694 5757 6422 7373 7878 8322 8541 9633 11514 11817 12337 12483 14746 17069 17082 17271 18031 19266 22119 23634 24674 24947 24966 28899 34138 34542 36062 37011 44238 49894 51207 54093 57798 66357 74022 74841 95849 102414 108186 111033 132714 140087 149682 153621 162279 191698 222066 224523 234403 280174 287547 307242 324311 324558 420261 449046 468806 575094 648622 703209 840522 862641 972933 1246037 1260783 1406418 1725282 1821131 1945866 2109627 2492074 2521566 2918799 3642262 3738111 4219254 5463393 5837598 7476222 10926786 11214333 16390179 22428666 23674703 32780358 47349406 71024109 142048218 213072327 426144654