Base | Representation |
---|---|
bin | 10101111100111010100000 |
3 | 101211100201200 |
4 | 111330322200 |
5 | 2433121103 |
6 | 323201200 |
7 | 66625023 |
oct | 25747240 |
9 | 11740650 |
10 | 5754528 |
11 | 328050a |
12 | 1b16200 |
13 | 1266360 |
14 | a9b1ba |
15 | 78a0a3 |
hex | 57cea0 |
5754528 has 144 divisors (see below), whose sum is σ = 18574920. Its totient is φ = 1677312.
The previous prime is 5754523. The next prime is 5754547. The reversal of 5754528 is 8254575.
It is a happy number.
5754528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
5754528 is a nontrivial binomial coefficient, being equal to C(3393, 2).
It can be written as a sum of positive squares in 4 ways, for example, as 4613904 + 1140624 = 2148^2 + 1068^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×57545282 = 66229185005568, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (56000) is a multiple of the sum of its prime divisors (100).
It is a junction number, because it is equal to n+sod(n) for n = 5754492 and 5754501.
It is not an unprimeable number, because it can be changed into a prime (5754523) 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, 108550 + ... + 108602.
Almost surely, 25754528 is an apocalyptic number.
5754528 is a gapful number since it is divisible by the number (58) formed by its first and last digit.
5754528 is the 3392-nd triangular number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5754528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287460).
5754528 is an abundant number, since it is smaller than the sum of its proper divisors (12820392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5754528 is a wasteful number, since it uses less digits than its factorization.
5754528 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 111 (or 100 counting only the distinct ones).
The product of its digits is 56000, while the sum is 36.
The square root of 5754528 is about 2398.8597291213. The cubic root of 5754528 is about 179.1994074173.
The spelling of 5754528 in words is "five million, seven hundred fifty-four thousand, five hundred twenty-eight".
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