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428162544 = 243317173337
BaseRepresentation
bin11001100001010…
…011110111110000
31002211122220121000
4121201103313300
51334102200134
6110253002000
713416215205
oct3141236760
91084586530
10428162544
111aa760947
12bb483300
136a922124
1440c15cac
15278c7e99
hex19853df0

428162544 has 160 divisors (see below), whose sum is σ = 1312683840. Its totient is φ = 133152768.

The previous prime is 428162543. The next prime is 428162591. The reversal of 428162544 is 445261824.

428162544 is a `hidden beast` number, since 4 + 28 + 1 + 625 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 428162499 and 428162508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428162543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270344 + ... + 1270680.

It is an arithmetic number, because the mean of its divisors is an integer number (8204274).

Almost surely, 2428162544 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 428162544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656341920).

428162544 is an abundant number, since it is smaller than the sum of its proper divisors (884521296).

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

428162544 is a wasteful number, since it uses less digits than its factorization.

428162544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 428162544 is about 20692.0889230643. The cubic root of 428162544 is about 753.7075934658.

The spelling of 428162544 in words is "four hundred twenty-eight million, one hundred sixty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 173 204 216 272 306 337 346 408 432 459 519 612 674 692 816 918 1011 1038 1224 1348 1384 1557 1836 2022 2076 2448 2696 2768 2941 3033 3114 3672 4044 4152 4671 5392 5729 5882 6066 6228 7344 8088 8304 8823 9099 9342 11458 11764 12132 12456 16176 17187 17646 18198 18684 22916 23528 24264 24912 26469 34374 35292 36396 37368 45832 47056 48528 51561 52938 58301 68748 70584 72792 74736 79407 91664 103122 105876 116602 137496 141168 145584 154683 158814 174903 206244 211752 233204 274992 309366 317628 349806 412488 423504 466408 524709 618732 635256 699612 824976 932816 991117 1049418 1237464 1270512 1399224 1574127 1982234 2098836 2474928 2798448 2973351 3148254 3964468 4197672 5946702 6296508 7928936 8395344 8920053 11893404 12593016 15857872 17840106 23786808 25186032 26760159 35680212 47573616 53520318 71360424 107040636 142720848 214081272 428162544