Search a number
-
+
19441128 = 2337971193
BaseRepresentation
bin100101000101…
…0010111101000
31100120201012210
41022022113220
514434104003
61532405120
7324150450
oct112122750
940521183
1019441128
11aa79453
1266167a0
134048c35
142820d60
151a90503
hex128a5e8

19441128 has 64 divisors (see below), whose sum is σ = 56165760. Its totient is φ = 5492736.

The previous prime is 19441109. The next prime is 19441129. The reversal of 19441128 is 82114491.

It is a junction number, because it is equal to n+sod(n) for n = 19441095 and 19441104.

It is not an unprimeable number, because it can be changed into a prime (19441129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15700 + ... + 16892.

It is an arithmetic number, because the mean of its divisors is an integer number (877590).

Almost surely, 219441128 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 19441128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28082880).

19441128 is an abundant number, since it is smaller than the sum of its proper divisors (36724632).

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

19441128 is a wasteful number, since it uses less digits than its factorization.

19441128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 19441128 is about 4409.2094529519. The cubic root of 19441128 is about 268.8894853354.

The spelling of 19441128 in words is "nineteen million, four hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1193 1358 2037 2328 2386 2716 3579 4074 4772 5432 7158 8148 8351 9544 14316 16296 16702 25053 28632 33404 50106 66808 100212 115721 200424 231442 347163 462884 694326 810047 925768 1388652 1620094 2430141 2777304 3240188 4860282 6480376 9720564 19441128