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428647220 = 225193743709
BaseRepresentation
bin11001100011001…
…010001100110100
31002212120112102222
4121203022030310
51334213202340
6110311221512
713423304231
oct3143121464
91085515388
10428647220
111aaa62001
12bb677898
136aa61911
1440d00788
15279718b5
hex198ca334

428647220 has 96 divisors (see below), whose sum is σ = 997180800. Its totient is φ = 154151424.

The previous prime is 428647181. The next prime is 428647237. The reversal of 428647220 is 22746824.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 604226 + ... + 604934.

It is an arithmetic number, because the mean of its divisors is an integer number (10387300).

Almost surely, 2428647220 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 428647220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498590400).

428647220 is an abundant number, since it is smaller than the sum of its proper divisors (568533580).

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

428647220 is a wasteful number, since it uses less digits than its factorization.

428647220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 428647220 is about 20703.7972362560. The cubic root of 428647220 is about 753.9918828734.

The spelling of 428647220 in words is "four hundred twenty-eight million, six hundred forty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 37 38 43 74 76 86 95 148 172 185 190 215 370 380 430 703 709 740 817 860 1406 1418 1591 1634 2812 2836 3182 3268 3515 3545 4085 6364 7030 7090 7955 8170 13471 14060 14180 15910 16340 26233 26942 30229 30487 31820 52466 53884 60458 60974 67355 104932 120916 121948 131165 134710 151145 152435 262330 269420 302290 304870 498427 524660 579253 604580 609740 996854 1128019 1158506 1993708 2256038 2317012 2492135 2896265 4512076 4984270 5640095 5792530 9968540 11280190 11585060 21432361 22560380 42864722 85729444 107161805 214323610 428647220