Base | Representation |
---|---|
bin | 100100101100… |
… | …1110111000000 |
3 | 1100012121122200 |
4 | 1021121313000 |
5 | 14411224212 |
6 | 1524233200 |
7 | 322362246 |
oct | 111316700 |
9 | 40177580 |
10 | 19242432 |
11 | a953140 |
12 | 653b800 |
13 | 3ca9671 |
14 | 27ac796 |
15 | 1a516dc |
hex | 1259dc0 |
19242432 has 84 divisors (see below), whose sum is σ = 60188856. Its totient is φ = 5829120.
The previous prime is 19242409. The next prime is 19242439. The reversal of 19242432 is 23424291.
19242432 is a `hidden beast` number, since 192 + 42 + 432 = 666.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 19242396 and 19242405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19242439) 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 11 ways as a sum of consecutive naturals, for example, 4818 + ... + 7854.
It is an arithmetic number, because the mean of its divisors is an integer number (716534).
Almost surely, 219242432 is an apocalyptic number.
19242432 is a gapful number since it is divisible by the number (12) 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 19242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30094428).
19242432 is an abundant number, since it is smaller than the sum of its proper divisors (40946424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19242432 is a wasteful number, since it uses less digits than its factorization.
19242432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3066 (or 3053 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 19242432 is about 4386.6196552699. The cubic root of 19242432 is about 267.9702944724.
It can be divided in two parts, 1924 and 2432, that added together give a square (4356 = 662).
The spelling of 19242432 in words is "nineteen million, two hundred forty-two thousand, four hundred thirty-two".
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