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19828008 = 2332275389
BaseRepresentation
bin100101110100…
…0110100101000
31101022100220200
41023220310220
520033444013
61544552200
7330351414
oct113506450
941270820
1019828008
1110213092
126782660
134153065
1428c1d44
151b19e73
hex12e8d28

19828008 has 24 divisors (see below), whose sum is σ = 53701050. Its totient is φ = 6609312.

The previous prime is 19827959. The next prime is 19828021. The reversal of 19828008 is 80082891.

It can be written as a sum of positive squares in only one way, i.e., 13264164 + 6563844 = 3642^2 + 2562^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 137623 + ... + 137766.

Almost surely, 219828008 is an apocalyptic number.

19828008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19828008 is an abundant number, since it is smaller than the sum of its proper divisors (33873042).

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

19828008 is a wasteful number, since it uses less digits than its factorization.

19828008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275401 (or 275394 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 19828008 is about 4452.8651450499. The cubic root of 19828008 is about 270.6614236435.

The spelling of 19828008 in words is "nineteen million, eight hundred twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 275389 550778 826167 1101556 1652334 2203112 2478501 3304668 4957002 6609336 9914004 19828008