Base | Representation |
---|---|
bin | 11110000101011… |
… | …10100000001000 |
3 | 122120212212200011 |
4 | 33002232200020 |
5 | 1004101414000 |
6 | 41013121304 |
7 | 6153064225 |
oct | 1702564010 |
9 | 576785604 |
10 | 252373000 |
11 | 11a504630 |
12 | 70629234 |
13 | 40393849 |
14 | 2573694c |
15 | 172522ba |
hex | f0ae808 |
252373000 has 64 divisors (see below), whose sum is σ = 644267520. Its totient is φ = 91768000.
The previous prime is 252372983. The next prime is 252373001. The reversal of 252373000 is 373252.
It is a happy number.
It is a super-2 number, since 2×2523730002 = 127384262258000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is not an unprimeable number, because it can be changed into a prime (252373001) 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 15 ways as a sum of consecutive naturals, for example, 472 + ... + 22471.
It is an arithmetic number, because the mean of its divisors is an integer number (10066680).
Almost surely, 2252373000 is an apocalyptic number.
252373000 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 252373000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322133760).
252373000 is an abundant number, since it is smaller than the sum of its proper divisors (391894520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252373000 is a wasteful number, since it uses less digits than its factorization.
252373000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22975 (or 22961 counting only the distinct ones).
The product of its (nonzero) digits is 1260, while the sum is 22.
The square root of 252373000 is about 15886.2519179321. The cubic root of 252373000 is about 631.9474466262.
The spelling of 252373000 in words is "two hundred fifty-two million, three hundred seventy-three thousand".
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