Search a number
-
+
19054008 = 2333175189
BaseRepresentation
bin100100010101…
…1110110111000
31022212001012000
41020223312320
514334212013
61520221000
7320646021
oct110536670
938761160
1019054008
11a834616
12646a760
133c4197c
14275dc48
151a15973
hex122bdb8

19054008 has 64 divisors (see below), whose sum is σ = 56052000. Its totient is φ = 5976576.

The previous prime is 19054003. The next prime is 19054027. The reversal of 19054008 is 80045091.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19054003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078 + ... + 6266.

Almost surely, 219054008 is an apocalyptic number.

19054008 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 19054008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28026000).

19054008 is an abundant number, since it is smaller than the sum of its proper divisors (36997992).

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

19054008 is a wasteful number, since it uses less digits than its factorization.

19054008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 19054008 is about 4365.0896898002. The cubic root of 19054008 is about 267.0927590848.

Adding to 19054008 its reverse (80045091), we get a palindrome (99099099).

The spelling of 19054008 in words is "nineteen million, fifty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 5189 10378 15567 20756 31134 41512 46701 62268 88213 93402 124536 140103 176426 186804 264639 280206 352852 373608 529278 560412 705704 793917 1058556 1120824 1587834 2117112 2381751 3175668 4763502 6351336 9527004 19054008