Search a number
-
+
428491644 = 223753109883
BaseRepresentation
bin11001100010100…
…100001101111100
31002212021122000220
4121202210031330
51334143213034
6110304021340
713422055530
oct3142441574
91085248026
10428491644
111aa966129
12bb601850
136aa08b69
1440c9dbc0
1527940749
hex198a437c

428491644 has 96 divisors (see below), whose sum is σ = 1176215040. Its totient is φ = 118879488.

The previous prime is 428491631. The next prime is 428491673. The reversal of 428491644 is 446194824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 428491596 and 428491605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484827 + ... + 485709.

It is an arithmetic number, because the mean of its divisors is an integer number (12252240).

Almost surely, 2428491644 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 428491644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588107520).

428491644 is an abundant number, since it is smaller than the sum of its proper divisors (747723396).

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

428491644 is a wasteful number, since it uses less digits than its factorization.

428491644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1057 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 428491644 is about 20700.0397101068. The cubic root of 428491644 is about 753.9006522684.

The spelling of 428491644 in words is "four hundred twenty-eight million, four hundred ninety-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 109 159 212 218 318 327 371 436 636 654 742 763 883 1113 1308 1484 1526 1766 2226 2289 2649 3052 3532 4452 4578 5298 5777 6181 9156 10596 11554 12362 17331 18543 23108 24724 34662 37086 40439 46799 69324 74172 80878 93598 96247 121317 140397 161756 187196 192494 242634 280794 288741 327593 384988 485268 561588 577482 655186 673729 982779 1154964 1310372 1347458 1965558 2021187 2694916 3931116 4042374 5101091 8084748 10202182 15303273 20404364 30606546 35707637 61213092 71415274 107122911 142830548 214245822 428491644