Base | Representation |
---|---|
bin | 1010111011111… |
… | …1101001010000 |
3 | 10012022121221120 |
4 | 2232333221100 |
5 | 43220424434 |
6 | 4315122240 |
7 | 1064630460 |
oct | 256775120 |
9 | 105277846 |
10 | 45873744 |
11 | 23992694 |
12 | 13443380 |
13 | 9672237 |
14 | 6141ba0 |
15 | 4062349 |
hex | 2bbfa50 |
45873744 has 80 divisors (see below), whose sum is σ = 136181760. Its totient is φ = 13034880.
The previous prime is 45873743. The next prime is 45873767. The reversal of 45873744 is 44737854.
It is a Harshad number since it is a multiple of its sum of digits (42).
Its product of digits (376320) is a multiple of the sum of its prime factors (768).
It is a junction number, because it is equal to n+sod(n) for n = 45873696 and 45873705.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45873743) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104277 + ... + 104715.
It is an arithmetic number, because the mean of its divisors is an integer number (1702272).
Almost surely, 245873744 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 45873744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).
45873744 is an abundant number, since it is smaller than the sum of its proper divisors (90308016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45873744 is a wasteful number, since it uses less digits than its factorization.
45873744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 768 (or 762 counting only the distinct ones).
The product of its digits is 376320, while the sum is 42.
The square root of 45873744 is about 6773.0158718255. The cubic root of 45873744 is about 357.9766741978.
The spelling of 45873744 in words is "forty-five million, eight hundred seventy-three thousand, seven hundred forty-four".
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