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19386042 = 231319103127
BaseRepresentation
bin100100111110…
…0111010111010
31100110220122120
41021330322322
514430323132
61531302110
7323531034
oct111747272
940426576
1019386042
11aa41025
1265aa936
134029b40
142808c54
151a7e02c
hex127ceba

19386042 has 64 divisors (see below), whose sum is σ = 44728320. Its totient is φ = 5552064.

The previous prime is 19385999. The next prime is 19386049. The reversal of 19386042 is 24068391.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 19385994 and 19386012.

It is not an unprimeable number, because it can be changed into a prime (19386049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152583 + ... + 152709.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 219386042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19386042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22364160).

19386042 is an abundant number, since it is smaller than the sum of its proper divisors (25342278).

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

19386042 is a wasteful number, since it uses less digits than its factorization.

19386042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 19386042 is about 4402.9583236728. The cubic root of 19386042 is about 268.6352809820.

The spelling of 19386042 in words is "nineteen million, three hundred eighty-six thousand, forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 103 114 127 206 247 254 309 381 494 618 741 762 1339 1482 1651 1957 2413 2678 3302 3914 4017 4826 4953 5871 7239 8034 9906 11742 13081 14478 25441 26162 31369 39243 50882 62738 76323 78486 94107 152646 170053 188214 248539 340106 497078 510159 745617 1020318 1491234 3231007 6462014 9693021 19386042