Base | Representation |
---|---|
bin | 11111111101000… |
… | …101000111100100 |
3 | 1101100202222102012 |
4 | 133331011013210 |
5 | 2044220333234 |
6 | 125110333352 |
7 | 16166551430 |
oct | 3775050744 |
9 | 1340688365 |
10 | 536105444 |
11 | 255687a56 |
12 | 12b65a258 |
13 | 870b7074 |
14 | 512b39c0 |
15 | 320eb0ce |
hex | 1ff451e4 |
536105444 has 48 divisors (see below), whose sum is σ = 1165086720. Its totient is φ = 210638880.
The previous prime is 536105443. The next prime is 536105477. The reversal of 536105444 is 444501635.
It is a self number, because there is not a number n which added to its sum of digits gives 536105444.
It is not an unprimeable number, because it can be changed into a prime (536105443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239 + ... + 32745.
It is an arithmetic number, because the mean of its divisors is an integer number (24272640).
Almost surely, 2536105444 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 536105444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582543360).
536105444 is an abundant number, since it is smaller than the sum of its proper divisors (628981276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
536105444 is a wasteful number, since it uses less digits than its factorization.
536105444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32568 (or 32566 counting only the distinct ones).
The product of its (nonzero) digits is 28800, while the sum is 32.
The square root of 536105444 is about 23153.9509371511. The cubic root of 536105444 is about 812.3628834968.
The spelling of 536105444 in words is "five hundred thirty-six million, one hundred five thousand, four hundred forty-four".
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