Search a number
-
+
19204872 = 2333183311
BaseRepresentation
bin100100101000…
…0101100001000
31100010201010120
41021100230020
514404023442
61523343240
7322144611
oct111205410
940121116
1019204872
11a9279a5
126521b20
133c9553b
14279cc08
151a454ec
hex1250b08

19204872 has 64 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 6100800.

The previous prime is 19204853. The next prime is 19204891. The reversal of 19204872 is 27840291.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19204853) and next prime (19204891).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61597 + ... + 61907.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 219204872 is an apocalyptic number.

19204872 is a gapful number since it is divisible by the number (12) 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 19204872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

19204872 is an abundant number, since it is smaller than the sum of its proper divisors (31114488).

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

19204872 is a wasteful number, since it uses less digits than its factorization.

19204872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 19204872 is about 4382.3363631743. The cubic root of 19204872 is about 267.7958272655.

The spelling of 19204872 in words is "nineteen million, two hundred four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 83 93 124 166 186 248 249 311 332 372 498 622 664 744 933 996 1244 1866 1992 2488 2573 3732 5146 7464 7719 9641 10292 15438 19282 20584 25813 28923 30876 38564 51626 57846 61752 77128 77439 103252 115692 154878 206504 231384 309756 619512 800203 1600406 2400609 3200812 4801218 6401624 9602436 19204872