Base | Representation |
---|---|
bin | 1001001100100… |
… | …1100001000000 |
3 | 2200120202210000 |
4 | 2103021201000 |
5 | 34333333034 |
6 | 3454440000 |
7 | 645606030 |
oct | 223114100 |
9 | 80522700 |
10 | 38574144 |
11 | 1a857364 |
12 | 10b03000 |
13 | 7cb784b |
14 | 51a18c0 |
15 | 35be599 |
hex | 24c9840 |
38574144 has 140 divisors (see below), whose sum is σ = 130803904. Its totient is φ = 11010816.
The previous prime is 38574127. The next prime is 38574157. The reversal of 38574144 is 44147583.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 38574099 and 38574108.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35757 + ... + 36819.
Almost surely, 238574144 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 38574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65401952).
38574144 is an abundant number, since it is smaller than the sum of its proper divisors (92229760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38574144 is a wasteful number, since it uses less digits than its factorization.
38574144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1094 (or 1075 counting only the distinct ones).
The product of its digits is 53760, while the sum is 36.
The square root of 38574144 is about 6210.8086430029. The cubic root of 38574144 is about 337.8822927321.
It can be divided in two parts, 3857 and 4144, that added together give a triangular number (8001 = T126).
The spelling of 38574144 in words is "thirty-eight million, five hundred seventy-four thousand, one hundred forty-four".
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