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428169480 = 233517209887
BaseRepresentation
bin11001100001010…
…101100100001000
31002211200021002220
4121201111210020
51334102410410
6110253054040
713416244344
oct3141254410
91084607086
10428169480
111aa766082
12bb487320
136a92532b
1440c18624
15278ca070
hex19855908

428169480 has 64 divisors (see below), whose sum is σ = 1360074240. Its totient is φ = 107461632.

The previous prime is 428169479. The next prime is 428169481. The reversal of 428169480 is 84961824.

It is an interprime number because it is at equal distance from previous prime (428169479) and next prime (428169481).

It is not an unprimeable number, because it can be changed into a prime (428169481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102904 + ... + 106983.

It is an arithmetic number, because the mean of its divisors is an integer number (21251160).

Almost surely, 2428169480 is an apocalyptic number.

428169480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428169480 is an abundant number, since it is smaller than the sum of its proper divisors (931904760).

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

428169480 is a wasteful number, since it uses less digits than its factorization.

428169480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209918 (or 209914 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 428169480 is about 20692.2565226705. The cubic root of 428169480 is about 753.7116633280.

The spelling of 428169480 in words is "four hundred twenty-eight million, one hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 209887 419774 629661 839548 1049435 1259322 1679096 2098870 2518644 3148305 3568079 4197740 5037288 6296610 7136158 8395480 10704237 12593220 14272316 17840395 21408474 25186440 28544632 35680790 42816948 53521185 71361580 85633896 107042370 142723160 214084740 428169480