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428181960 = 23354382981
BaseRepresentation
bin11001100001011…
…000100111001000
31002211200220020010
4121201120213020
51334103310320
6110253231520
713416325623
oct3141304710
91084626203
10428181960
111aa774498
12bb4925a0
136a92ac0b
1440c1cdba
15278cdae0
hex198589c8

428181960 has 64 divisors (see below), whose sum is σ = 1314434880. Its totient is φ = 111525120.

The previous prime is 428181953. The next prime is 428181979. The reversal of 428181960 is 69181824.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36331 + ... + 46650.

It is an arithmetic number, because the mean of its divisors is an integer number (20538045).

Almost surely, 2428181960 is an apocalyptic number.

428181960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428181960 is an abundant number, since it is smaller than the sum of its proper divisors (886252920).

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

428181960 is a wasteful number, since it uses less digits than its factorization.

428181960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83038 (or 83034 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 428181960 is about 20692.5580825571. The cubic root of 428181960 is about 753.7189861527.

The spelling of 428181960 in words is "four hundred twenty-eight million, one hundred eighty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 82981 165962 248943 331924 414905 497886 663848 829810 995772 1244715 1659620 1991544 2489430 3319240 3568183 4978860 7136366 9957720 10704549 14272732 17840915 21409098 28545464 35681830 42818196 53522745 71363660 85636392 107045490 142727320 214090980 428181960