Base | Representation |
---|---|
bin | 1100101001001… |
… | …1001001100100 |
3 | 10200210021120112 |
4 | 3022103021210 |
5 | 102034002044 |
6 | 5132352152 |
7 | 1212521600 |
oct | 312231144 |
9 | 120707515 |
10 | 53031524 |
11 | 27a31407 |
12 | 15915658 |
13 | acaa200 |
14 | 7086500 |
15 | 49c809e |
hex | 3293264 |
53031524 has 54 divisors (see below), whose sum is σ = 116973234. Its totient is φ = 20966400.
The previous prime is 53031523. The next prime is 53031529. The reversal of 53031524 is 42513035.
It can be written as a sum of positive squares in 3 ways, for example, as 6927424 + 46104100 = 2632^2 + 6790^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 53031524.
It is not an unprimeable number, because it can be changed into a prime (53031521) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32324 + ... + 33924.
It is an arithmetic number, because the mean of its divisors is an integer number (2166171).
Almost surely, 253031524 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 53031524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58486617).
53031524 is an abundant number, since it is smaller than the sum of its proper divisors (63941710).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53031524 is a wasteful number, since it uses less digits than its factorization.
53031524 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1645 (or 1623 counting only the distinct ones).
The product of its (nonzero) digits is 1800, while the sum is 23.
The square root of 53031524 is about 7282.2746446423. The cubic root of 53031524 is about 375.7030343421.
Adding to 53031524 its reverse (42513035), we get a palindrome (95544559).
The spelling of 53031524 in words is "fifty-three million, thirty-one thousand, five hundred twenty-four".
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