Search a number
-
+
19057808 = 2471131499
BaseRepresentation
bin100100010110…
…0110010010000
31022212020101202
41020230302100
514334322213
61520250332
7320663060
oct110546220
938766352
1019057808
11a837460
1264709a8
133c43613
1427613a0
151a16b58
hex122cc90

19057808 has 80 divisors (see below), whose sum is σ = 47616000. Its totient is φ = 7171200.

The previous prime is 19057763. The next prime is 19057811. The reversal of 19057808 is 80875091.

It is a super-3 number, since 3×190578083 (a number of 23 digits) contains 333 as substring.

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, 37943 + ... + 38441.

It is an arithmetic number, because the mean of its divisors is an integer number (595200).

Almost surely, 219057808 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 19057808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808000).

19057808 is an abundant number, since it is smaller than the sum of its proper divisors (28558192).

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

19057808 is a wasteful number, since it uses less digits than its factorization.

19057808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 38.

The square root of 19057808 is about 4365.5249397982. The cubic root of 19057808 is about 267.1105136175.

The spelling of 19057808 in words is "nineteen million, fifty-seven thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 496 499 616 682 868 998 1232 1364 1736 1996 2387 2728 3472 3493 3992 4774 5456 5489 6986 7984 9548 10978 13972 15469 19096 21956 27944 30938 38192 38423 43912 55888 61876 76846 87824 108283 123752 153692 170159 216566 247504 307384 340318 433132 614768 680636 866264 1191113 1361272 1732528 2382226 2722544 4764452 9528904 19057808