Base | Representation |
---|---|
bin | 11110000100111… |
… | …01101010000000 |
3 | 122120202101000121 |
4 | 33002131222000 |
5 | 1004042212000 |
6 | 41011430024 |
7 | 6152356114 |
oct | 1702355200 |
9 | 576671017 |
10 | 252304000 |
11 | 11a467803 |
12 | 705b5314 |
13 | 4036b310 |
14 | 25719744 |
15 | 1723bb1a |
hex | f09da80 |
252304000 has 128 divisors (see below), whose sum is σ = 676100880. Its totient is φ = 93081600.
The previous prime is 252303949. The next prime is 252304033. The reversal of 252304000 is 403252.
252304000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 22963264 + 229340736 = 4792^2 + 15144^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207394 + ... + 208606.
Almost surely, 2252304000 is an apocalyptic number.
252304000 is a gapful number since it is divisible by the number (20) 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 252304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338050440).
252304000 is an abundant number, since it is smaller than the sum of its proper divisors (423796880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252304000 is a wasteful number, since it uses less digits than its factorization.
252304000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1255 (or 1233 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 16.
The square root of 252304000 is about 15884.0800803824. The cubic root of 252304000 is about 631.8898488796.
Adding to 252304000 its reverse (403252), we get a palindrome (252707252).
The spelling of 252304000 in words is "two hundred fifty-two million, three hundred four thousand".
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