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1681828032 = 2638759521
BaseRepresentation
bin110010000111110…
…1010100011000000
311100012122201100010
41210033222203000
511421021444112
6434515224520
756451205503
oct14417524300
94305581303
101681828032
11793391325
123ab2a8140
1320a586221
1411d51513a
159c9b463c
hex643ea8c0

1681828032 has 28 divisors (see below), whose sum is σ = 4449837176. Its totient is φ = 560609280.

The previous prime is 1681828021. The next prime is 1681828069. The reversal of 1681828032 is 2308281861.

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 3 ways as a sum of consecutive naturals, for example, 4379569 + ... + 4379952.

Almost surely, 21681828032 is an apocalyptic number.

1681828032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1681828032 is an abundant number, since it is smaller than the sum of its proper divisors (2768009144).

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

1681828032 is an equidigital number, since it uses as much as digits as its factorization.

1681828032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8759536 (or 8759526 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1681828032 is about 41010.0967080059. The cubic root of 1681828032 is about 1189.2154120162.

It can be divided in two parts, 16818 and 28032, that added together give a triangular number (44850 = T299).

The spelling of 1681828032 in words is "one billion, six hundred eighty-one million, eight hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 8759521 17519042 26278563 35038084 52557126 70076168 105114252 140152336 210228504 280304672 420457008 560609344 840914016 1681828032