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19218942 = 23217181347
BaseRepresentation
bin100100101010…
…0000111111110
31100011102102200
41021110013332
514410001232
61523532330
7322233621
oct111240776
940142380
1019218942
11a937526
12652a0a6
133c9ba72
1427a3db8
151a4977c
hex12541fe

19218942 has 48 divisors (see below), whose sum is σ = 44461872. Its totient is φ = 5978880.

The previous prime is 19218931. The next prime is 19218949. The reversal of 19218942 is 24981291.

It is a junction number, because it is equal to n+sod(n) for n = 19218897 and 19218906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19218949) 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, 55213 + ... + 55559.

It is an arithmetic number, because the mean of its divisors is an integer number (926289).

Almost surely, 219218942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19218942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22230936).

19218942 is an abundant number, since it is smaller than the sum of its proper divisors (25242930).

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

19218942 is a wasteful number, since it uses less digits than its factorization.

19218942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 550 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 19218942 is about 4383.9413773453. The cubic root of 19218942 is about 267.8612094164.

The spelling of 19218942 in words is "nineteen million, two hundred eighteen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 181 306 347 362 543 694 1041 1086 1629 2082 3077 3123 3258 5899 6154 6246 9231 11798 17697 18462 27693 35394 53091 55386 62807 106182 125614 188421 376842 565263 1067719 1130526 2135438 3203157 6406314 9609471 19218942