Base | Representation |
---|---|
bin | 1010110110010… |
… | …0101001001000 |
3 | 10011121200122020 |
4 | 2231210221020 |
5 | 43122013000 |
6 | 4303124440 |
7 | 1061515656 |
oct | 255445110 |
9 | 104550566 |
10 | 45501000 |
11 | 23758636 |
12 | 132a3720 |
13 | 957168c |
14 | 6085dd6 |
15 | 3edbba0 |
hex | 2b64a48 |
45501000 has 128 divisors (see below), whose sum is σ = 147139200. Its totient is φ = 11692800.
The previous prime is 45500929. The next prime is 45501011. The reversal of 45501000 is 10554.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 86739 + ... + 87261.
It is an arithmetic number, because the mean of its divisors is an integer number (1149525).
Almost surely, 245501000 is an apocalyptic number.
45501000 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 45501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73569600).
45501000 is an abundant number, since it is smaller than the sum of its proper divisors (101638200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45501000 is a wasteful number, since it uses less digits than its factorization.
45501000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 576 (or 562 counting only the distinct ones).
The product of its (nonzero) digits is 100, while the sum is 15.
The square root of 45501000 is about 6745.4429061404. The cubic root of 45501000 is about 357.0044644751.
Adding to 45501000 its reverse (10554), we get a palindrome (45511554).
The spelling of 45501000 in words is "forty-five million, five hundred one thousand".
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