Base | Representation |
---|---|
bin | 1001011001101100… |
… | …0000101110010100 |
3 | 20111212201101011100 |
4 | 2112123000232110 |
5 | 20132024211002 |
6 | 1054230510100 |
7 | 116352532545 |
oct | 22633005624 |
9 | 6455641140 |
10 | 2523663252 |
11 | 10855a6610 |
12 | 5a5205330 |
13 | 312ac6086 |
14 | 19d2504cc |
15 | eb85211c |
hex | 966c0b94 |
2523663252 has 144 divisors (see below), whose sum is σ = 7232569344. Its totient is φ = 735048000.
The previous prime is 2523663251. The next prime is 2523663253.
2523663252 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (2523663251) and next prime (2523663253).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2523663251) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2049477 + ... + 2050707.
It is an arithmetic number, because the mean of its divisors is an integer number (50226176).
Almost surely, 22523663252 is an apocalyptic number.
2523663252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2523663252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616284672).
2523663252 is an abundant number, since it is smaller than the sum of its proper divisors (4708906092).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2523663252 is a wasteful number, since it uses less digits than its factorization.
2523663252 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1450 (or 1445 counting only the distinct ones).
The product of its digits is 129600, while the sum is 36.
The square root of 2523663252 is about 50236.0752049760. The cubic root of 2523663252 is about 1361.4774982213.
It can be divided in two parts, 25236 and 63252, that added together give a palindrome (88488).
The spelling of 2523663252 in words is "two billion, five hundred twenty-three million, six hundred sixty-three thousand, two hundred fifty-two".
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