Base | Representation |
---|---|
bin | 11100111010100… |
… | …01001010111000 |
3 | 121220101222220000 |
4 | 32131101022320 |
5 | 444043203103 |
6 | 40022433000 |
7 | 6003446100 |
oct | 1635211270 |
9 | 556358800 |
10 | 242553528 |
11 | 114a08068 |
12 | 69292760 |
13 | 3b3361c9 |
14 | 242dc200 |
15 | 16462aa3 |
hex | e7512b8 |
242553528 has 120 divisors (see below), whose sum is σ = 790396200. Its totient is φ = 69291936.
The previous prime is 242553527. The next prime is 242553533. The reversal of 242553528 is 825355242.
It is a happy number.
242553528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 242553492 and 242553501.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (242553527) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27933 + ... + 35571.
It is an arithmetic number, because the mean of its divisors is an integer number (6586635).
Almost surely, 2242553528 is an apocalyptic number.
242553528 is a gapful number since it is divisible by the number (28) 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 242553528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395198100).
242553528 is an abundant number, since it is smaller than the sum of its proper divisors (547842672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242553528 is a wasteful number, since it uses less digits than its factorization.
242553528 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7671 (or 7651 counting only the distinct ones).
The product of its digits is 96000, while the sum is 36.
The square root of 242553528 is about 15574.1300880659. The cubic root of 242553528 is about 623.6427318775.
It can be divided in two parts, 24 and 2553528, that added together give a palindrome (2553552).
The spelling of 242553528 in words is "two hundred forty-two million, five hundred fifty-three thousand, five hundred twenty-eight".
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