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428616420 = 223567106621
BaseRepresentation
bin11001100011000…
…010101011100100
31002212111222012020
4121203002223210
51334211211140
6110310423140
713423115361
oct3143025344
91085458166
10428616420
111aaa40951
12bb661ab0
136aa508ab
1440cd3468
15279676d0
hex198c2ae4

428616420 has 48 divisors (see below), whose sum is σ = 1218049728. Its totient is φ = 112590720.

The previous prime is 428616413. The next prime is 428616457. The reversal of 428616420 is 24616824.

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 15 ways as a sum of consecutive naturals, for example, 49291 + ... + 57330.

It is an arithmetic number, because the mean of its divisors is an integer number (25376036).

Almost surely, 2428616420 is an apocalyptic number.

It is an amenable number.

428616420 is an abundant number, since it is smaller than the sum of its proper divisors (789433308).

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

428616420 is a wasteful number, since it uses less digits than its factorization.

428616420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106700 (or 106698 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 428616420 is about 20703.0533979894. The cubic root of 428616420 is about 753.9738233401.

It can be divided in two parts, 4286 and 16420, that added together give a triangular number (20706 = T203).

The spelling of 428616420 in words is "four hundred twenty-eight million, six hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 106621 213242 319863 426484 533105 639726 1066210 1279452 1599315 2132420 3198630 6397260 7143607 14287214 21430821 28574428 35718035 42861642 71436070 85723284 107154105 142872140 214308210 428616420