Search a number
-
+
426844728 = 23341937937
BaseRepresentation
bin11001011100010…
…010001000111000
31002202011221220000
4121130102020320
51333233012403
6110204433000
713402056162
oct3134221070
91082157800
10426844728
111a9a40842
12bab48760
136a58035b
1440991932
15277177a3
hex19712238

426844728 has 160 divisors (see below), whose sum is σ = 1293877200. Its totient is φ = 131010048.

The previous prime is 426844711. The next prime is 426844751. The reversal of 426844728 is 827448624.

It is a super-3 number, since 3×4268447283 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 455076 + ... + 456012.

Almost surely, 2426844728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426844728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646938600).

426844728 is an abundant number, since it is smaller than the sum of its proper divisors (867032472).

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

426844728 is a wasteful number, since it uses less digits than its factorization.

426844728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 998 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 426844728 is about 20660.2209087899. The cubic root of 426844728 is about 752.9335348709.

The spelling of 426844728 in words is "four hundred twenty-six million, eight hundred forty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 37 38 54 57 72 74 76 81 108 111 114 148 152 162 171 216 222 228 296 324 333 342 444 456 513 648 666 684 703 888 937 999 1026 1332 1368 1406 1539 1874 1998 2052 2109 2664 2811 2812 2997 3078 3748 3996 4104 4218 5622 5624 5994 6156 6327 7496 7992 8433 8436 11244 11988 12312 12654 16866 16872 17803 18981 22488 23976 25299 25308 33732 34669 35606 37962 50598 50616 53409 56943 67464 69338 71212 75897 75924 101196 104007 106818 113886 138676 142424 151794 151848 160227 202392 208014 213636 227772 277352 303588 312021 320454 416028 427272 455544 480681 607176 624042 640908 658711 832056 936063 961362 1248084 1281816 1317422 1442043 1872126 1922724 1976133 2496168 2634844 2808189 2884086 3744252 3845448 3952266 5269688 5616378 5768172 5928399 7488504 7904532 11232756 11536344 11856798 15809064 17785197 22465512 23713596 35570394 47427192 53355591 71140788 106711182 142281576 213422364 426844728