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19000008 = 2334109269
BaseRepresentation
bin100100001111…
…0101011001000
31022202022010000
41020132223020
514331000013
61515123000
7320332416
oct110365310
938668100
1019000008
11a7a7a95
126443460
133c23211
1427482b6
151a04973
hex121eac8

19000008 has 80 divisors (see below), whose sum is σ = 53905500. Its totient is φ = 6251904.

The previous prime is 18999997. The next prime is 19000013. The reversal of 19000008 is 80000091.

It can be written as a sum of positive squares in 2 ways, for example, as 18507204 + 492804 = 4302^2 + 702^2 .

It is a super-2 number, since 2×190000082 = 722000608000128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 19 ways as a sum of consecutive naturals, for example, 70498 + ... + 70766.

Almost surely, 219000008 is an apocalyptic number.

19000008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26952750).

19000008 is an abundant number, since it is smaller than the sum of its proper divisors (34905492).

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

19000008 is a wasteful number, since it uses less digits than its factorization.

19000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 19000008 is about 4358.8998612035. The cubic root of 19000008 is about 266.8402023234.

Adding to 19000008 its reverse (80000091), we get a palindrome (99000099).

It can be divided in two parts, 1 and 9000008, that added together give a palindrome (9000009).

The spelling of 19000008 in words is "nineteen million, eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 269 324 327 436 538 648 654 807 872 981 1076 1308 1614 1962 2152 2421 2616 2943 3228 3924 4842 5886 6456 7263 7848 8829 9684 11772 14526 17658 19368 21789 23544 29052 29321 35316 43578 58104 58642 70632 87156 87963 117284 174312 175926 234568 263889 351852 527778 703704 791667 1055556 1583334 2111112 2375001 3166668 4750002 6333336 9500004 19000008