Search a number
-
+
428103900 = 223352722651
BaseRepresentation
bin11001100001000…
…101100011011100
31002211112221011000
4121201011203130
51334043311100
6110251430300
713415552220
oct3141054334
91084487130
10428103900
111aa720884
12bb455390
136a901523
1440bdc780
15278b5900
hex198458dc

428103900 has 144 divisors (see below), whose sum is σ = 1572954880. Its totient is φ = 97848000.

The previous prime is 428103889. The next prime is 428103959. The reversal of 428103900 is 9301824.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7575 + ... + 30225.

Almost surely, 2428103900 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 428103900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786477440).

428103900 is an abundant number, since it is smaller than the sum of its proper divisors (1144850980).

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

428103900 is a wasteful number, since it uses less digits than its factorization.

428103900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22681 (or 22668 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 428103900 is about 20690.6718112293. The cubic root of 428103900 is about 753.6731809536.

The spelling of 428103900 in words is "four hundred twenty-eight million, one hundred three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 22651 45302 67953 90604 113255 135906 158557 203859 226510 271812 317114 339765 407718 453020 475671 566275 611577 634228 679530 792785 815436 951342 1019295 1132550 1223154 1359060 1427013 1585570 1698825 1902684 2038590 2265100 2378355 2446308 2854026 3057885 3171140 3397650 3963925 4077180 4281039 4756710 5096475 5708052 6115770 6795300 7135065 7927850 8562078 9513420 10192950 11891775 12231540 14270130 15289425 15855700 17124156 20385900 21405195 23783550 28540260 30578850 35675325 42810390 47567100 61157700 71350650 85620780 107025975 142701300 214051950 428103900