| Base | Representation |
|---|---|
| bin | 100101101111… |
| … | …1010101100000 |
| 3 | 1101020101121120 |
| 4 | 1023133111200 |
| 5 | 20031223102 |
| 6 | 1544052240 |
| 7 | 330130215 |
| oct | 113372540 |
| 9 | 41211546 |
| 10 | 19789152 |
| 11 | 10196979 |
| 12 | 6764080 |
| 13 | 413b476 |
| 14 | 28b1b0c |
| 15 | 1b0d6bc |
| hex | 12df560 |
19789152 has 48 divisors (see below), whose sum is σ = 52355520. Its totient is φ = 6544512.
The previous prime is 19789151. The next prime is 19789153. The reversal of 19789152 is 25198791.
It is an interprime number because it is at equal distance from previous prime (19789151) and next prime (19789153).
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-2 number, since 2×197891522 = 783221073758208, which contains 22 as substring.
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19789151) 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 7 ways as a sum of consecutive naturals, for example, 12603 + ... + 14085.
It is an arithmetic number, because the mean of its divisors is an integer number (1090740).
Almost surely, 219789152 is an apocalyptic number.
19789152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is a pronic number, being equal to 4448×4449.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 19789152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26177760).
19789152 is an abundant number, since it is smaller than the sum of its proper divisors (32566368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19789152 is a wasteful number, since it uses less digits than its factorization.
19789152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1635 (or 1627 counting only the distinct ones).
The product of its digits is 45360, while the sum is 42.
The square root of 19789152 is about 4448.4999719006. The cubic root of 19789152 is about 270.4845072746.
The spelling of 19789152 in words is "nineteen million, seven hundred eighty-nine thousand, one hundred fifty-two".
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