Base | Representation |
---|---|
bin | 1010110010110… |
… | …0001111110000 |
3 | 10011011221202200 |
4 | 2230230033300 |
5 | 43042120000 |
6 | 4254143200 |
7 | 1056534336 |
oct | 254541760 |
9 | 104157680 |
10 | 45270000 |
11 | 23610026 |
12 | 131b1b00 |
13 | 94c04a9 |
14 | 6025b56 |
15 | 3e93500 |
hex | 2b2c3f0 |
45270000 has 150 divisors (see below), whose sum is σ = 158630472. Its totient is φ = 12048000.
The previous prime is 45269999. The next prime is 45270007. The reversal of 45270000 is 7254.
It is a happy number.
45270000 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 (150).
It is a super-3 number, since 3×452700003 (a number of 24 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45270007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89749 + ... + 90251.
Almost surely, 245270000 is an apocalyptic number.
45270000 is a gapful number since it is divisible by the number (40) 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 45270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315236).
45270000 is an abundant number, since it is smaller than the sum of its proper divisors (113360472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45270000 is a wasteful number, since it uses less digits than its factorization.
45270000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 537 (or 513 counting only the distinct ones).
The product of its (nonzero) digits is 280, while the sum is 18.
The square root of 45270000 is about 6728.2984476017. The cubic root of 45270000 is about 356.3992910762.
Adding to 45270000 its reverse (7254), we get a palindrome (45277254).
The spelling of 45270000 in words is "forty-five million, two hundred seventy thousand".
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