Base | Representation |
---|---|
bin | 100100101001… |
… | …0110010110000 |
3 | 1100011010221200 |
4 | 1021102302300 |
5 | 14404312423 |
6 | 1523451200 |
7 | 322212000 |
oct | 111226260 |
9 | 40133850 |
10 | 19213488 |
11 | a933418 |
12 | 6526b00 |
13 | 3c99438 |
14 | 27a2000 |
15 | 1a47d43 |
hex | 1252cb0 |
19213488 has 120 divisors (see below), whose sum is σ = 62868000. Its totient is φ = 5475456.
The previous prime is 19213429. The next prime is 19213489. The reversal of 19213488 is 88431291.
It is a super-2 number, since 2×192134882 = 738316242252288, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (19213489) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49198 + ... + 49586.
It is an arithmetic number, because the mean of its divisors is an integer number (523900).
Almost surely, 219213488 is an apocalyptic number.
19213488 is a gapful number since it is divisible by the number (18) 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 19213488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31434000).
19213488 is an abundant number, since it is smaller than the sum of its proper divisors (43654512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19213488 is a wasteful number, since it uses less digits than its factorization.
19213488 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 424 (or 401 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 19213488 is about 4383.3192902183. The cubic root of 19213488 is about 267.8358689085.
It can be divided in two parts, 19213 and 488, that added together give a triangular number (19701 = T198).
The spelling of 19213488 in words is "nineteen million, two hundred thirteen thousand, four hundred eighty-eight".
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