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19408016 = 241771353
BaseRepresentation
bin100101000001…
…0010010010000
31100112000210102
41022002102100
514432024031
61531551532
7323652065
oct112022220
940460712
1019408016
11aa56591
1265bb5a8
134036b44
142812c6c
151a857cb
hex1282490

19408016 has 20 divisors (see below), whose sum is σ = 39815532. Its totient is φ = 9133056.

The previous prime is 19408003. The next prime is 19408019. The reversal of 19408016 is 61080491.

It can be written as a sum of positive squares in 2 ways, for example, as 17977600 + 1430416 = 4240^2 + 1196^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19408016.

It is not an unprimeable number, because it can be changed into a prime (19408019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35405 + ... + 35948.

Almost surely, 219408016 is an apocalyptic number.

19408016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19408016 is an abundant number, since it is smaller than the sum of its proper divisors (20407516).

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

19408016 is a wasteful number, since it uses less digits than its factorization.

19408016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71378 (or 71372 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 19408016 is about 4405.4529846544. The cubic root of 19408016 is about 268.7367416571.

The spelling of 19408016 in words is "nineteen million, four hundred eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 71353 142706 285412 570824 1141648 1213001 2426002 4852004 9704008 19408016