Base | Representation |
---|---|
bin | 1001100111000… |
… | …1111011001100 |
3 | 2210212002101110 |
4 | 2121301323030 |
5 | 40310000044 |
6 | 4000012020 |
7 | 666436140 |
oct | 231617314 |
9 | 83762343 |
10 | 40312524 |
11 | 2083443a |
12 | 11601010 |
13 | 8475b85 |
14 | 54d5220 |
15 | 38146b9 |
hex | 2671ecc |
40312524 has 96 divisors (see below), whose sum is σ = 112766976. Its totient is φ = 10967040.
The previous prime is 40312513. The next prime is 40312529. The reversal of 40312524 is 42521304.
40312524 = T392 + T393 + ... + T670.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 40312524.
It is not an unprimeable number, because it can be changed into a prime (40312529) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294184 + ... + 294320.
It is an arithmetic number, because the mean of its divisors is an integer number (1174656).
Almost surely, 240312524 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 40312524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56383488).
40312524 is an abundant number, since it is smaller than the sum of its proper divisors (72454452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40312524 is a wasteful number, since it uses less digits than its factorization.
40312524 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 295 (or 293 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 21.
The square root of 40312524 is about 6349.2144395980. The cubic root of 40312524 is about 342.8835605636.
Adding to 40312524 its reverse (42521304), we get a palindrome (82833828).
It can be divided in two parts, 4031 and 2524, that added together give a triangular number (6555 = T114).
The spelling of 40312524 in words is "forty million, three hundred twelve thousand, five hundred twenty-four".
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