Base | Representation |
---|---|
bin | 11111111100110… |
… | …101111100110000 |
3 | 1101100122211012000 |
4 | 133330311330300 |
5 | 2044211341222 |
6 | 125105134000 |
7 | 16166202330 |
oct | 3774657460 |
9 | 1340584160 |
10 | 536043312 |
11 | 255645302 |
12 | 12b62a300 |
13 | 870949bc |
14 | 512990c0 |
15 | 320d79ac |
hex | 1ff35f30 |
536043312 has 160 divisors (see below), whose sum is σ = 1776552960. Its totient is φ = 151580160.
The previous prime is 536043311. The next prime is 536043331. The reversal of 536043312 is 213340635.
It is a happy number.
536043312 is a `hidden beast` number, since 53 + 604 + 3 + 3 + 1 + 2 = 666.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (536043311) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310612 + ... + 312332.
It is an arithmetic number, because the mean of its divisors is an integer number (11103456).
Almost surely, 2536043312 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 536043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888276480).
536043312 is an abundant number, since it is smaller than the sum of its proper divisors (1240509648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
536043312 is a wasteful number, since it uses less digits than its factorization.
536043312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1848 (or 1836 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 27.
The square root of 536043312 is about 23152.6091834160. The cubic root of 536043312 is about 812.3314993221.
Adding to 536043312 its reverse (213340635), we get a palindrome (749383947).
The spelling of 536043312 in words is "five hundred thirty-six million, forty-three thousand, three hundred twelve".
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