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19004742 = 23217173359
BaseRepresentation
bin100100001111…
…1110101000110
31022202112121100
41020133311012
514331122432
61515200530
7320352261
oct110376506
938675540
1019004742
11a8005a9
126446146
133c25413
142749cd8
151a0607c
hex121fd46

19004742 has 48 divisors (see below), whose sum is σ = 43973280. Its totient is φ = 5911296.

The previous prime is 19004737. The next prime is 19004743. The reversal of 19004742 is 24740091.

It is a happy number.

19004742 is a `hidden beast` number, since 190 + 0 + 474 + 2 = 666.

It is a super-2 number, since 2×190047422 = 722360436973128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19004743) 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 23 ways as a sum of consecutive naturals, for example, 52759 + ... + 53117.

It is an arithmetic number, because the mean of its divisors is an integer number (916110).

Almost surely, 219004742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19004742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986640).

19004742 is an abundant number, since it is smaller than the sum of its proper divisors (24968538).

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

19004742 is a wasteful number, since it uses less digits than its factorization.

19004742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 19004742 is about 4359.4428543106. The cubic root of 19004742 is about 266.8623622548.

The spelling of 19004742 in words is "nineteen million, four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 173 306 346 359 519 718 1038 1077 1557 2154 2941 3114 3231 5882 6103 6462 8823 12206 17646 18309 26469 36618 52938 54927 62107 109854 124214 186321 372642 558963 1055819 1117926 2111638 3167457 6334914 9502371 19004742