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19145008 = 241971887
BaseRepresentation
bin100100100001…
…0000100110000
31100000200000101
41021002010300
514400120013
61522202144
7321505231
oct111020460
940020011
1019145008
11a896a23
1264b3354
133c7420c
142785088
151a328dd
hex1242130

19145008 has 40 divisors (see below), whose sum is σ = 39640320. Its totient is φ = 8930880.

The previous prime is 19145003. The next prime is 19145023. The reversal of 19145008 is 80054191.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (19145003) 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 7 ways as a sum of consecutive naturals, for example, 21141 + ... + 22027.

It is an arithmetic number, because the mean of its divisors is an integer number (991008).

Almost surely, 219145008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19145008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820160).

19145008 is an abundant number, since it is smaller than the sum of its proper divisors (20495312).

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

19145008 is a wasteful number, since it uses less digits than its factorization.

19145008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 19145008 is about 4375.5008856130. The cubic root of 19145008 is about 267.5172865645.

Adding to 19145008 its reverse (80054191), we get a palindrome (99199199).

The spelling of 19145008 in words is "nineteen million, one hundred forty-five thousand, eight".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 284 304 568 887 1136 1349 1774 2698 3548 5396 7096 10792 14192 16853 21584 33706 62977 67412 125954 134824 251908 269648 503816 1007632 1196563 2393126 4786252 9572504 19145008