Base | Representation |
---|---|
bin | 100101010111… |
… | …1100001100000 |
3 | 1100212102222020 |
4 | 1022233201200 |
5 | 20003441222 |
6 | 1535541440 |
7 | 325353234 |
oct | 112574140 |
9 | 40772866 |
10 | 19593312 |
11 | 10072822 |
12 | 668a880 |
13 | 40a029b |
14 | 28605c4 |
15 | 1ac065c |
hex | 12af860 |
19593312 has 48 divisors (see below), whose sum is σ = 52073280. Its totient is φ = 6449792.
The previous prime is 19593283. The next prime is 19593331. The reversal of 19593312 is 21339591.
It is a tau number, because it is divible by the number of its divisors (48).
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 6739 + ... + 9197.
It is an arithmetic number, because the mean of its divisors is an integer number (1084860).
Almost surely, 219593312 is an apocalyptic number.
19593312 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 19593312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26036640).
19593312 is an abundant number, since it is smaller than the sum of its proper divisors (32479968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19593312 is a wasteful number, since it uses less digits than its factorization.
19593312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2555 (or 2547 counting only the distinct ones).
The product of its digits is 7290, while the sum is 33.
The square root of 19593312 is about 4426.4333271834. The cubic root of 19593312 is about 269.5892795122.
It can be divided in two parts, 195933 and 12, that multiplied together give a triangular number (2351196 = T2168).
The spelling of 19593312 in words is "nineteen million, five hundred ninety-three thousand, three hundred twelve".
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