| Base | Representation |
|---|---|
| bin | 11110001110111… |
| … | …10000011100000 |
| 3 | 122200020001020020 |
| 4 | 33013132003200 |
| 5 | 1004411210402 |
| 6 | 41055513440 |
| 7 | 6166463163 |
| oct | 1707360340 |
| 9 | 580201206 |
| 10 | 253616352 |
| 11 | 1201837a0 |
| 12 | 70b28880 |
| 13 | 4070a762 |
| 14 | 2597bada |
| 15 | 173ea8bc |
| hex | f1de0e0 |
253616352 has 96 divisors (see below), whose sum is σ = 746008704. Its totient is φ = 74764800.
The previous prime is 253616317. The next prime is 253616357.
253616352 is nontrivially palindromic in base 10.
253616352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (253616357) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35827 + ... + 42317.
It is an arithmetic number, because the mean of its divisors is an integer number (7770924).
Almost surely, 2253616352 is an apocalyptic number.
253616352 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 253616352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373004352).
253616352 is an abundant number, since it is smaller than the sum of its proper divisors (492392352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
253616352 is a wasteful number, since it uses less digits than its factorization.
253616352 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6552 (or 6544 counting only the distinct ones).
The product of its digits is 32400, while the sum is 33.
The square root of 253616352 is about 15925.3367939268. The cubic root of 253616352 is about 632.9835404229.
It can be divided in two parts, 25361 and 6352, that added together give a palindrome (31713).
The spelling of 253616352 in words is "two hundred fifty-three million, six hundred sixteen thousand, three hundred fifty-two".
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