Base | Representation |
---|---|
bin | 1010111001100… |
… | …0111011101000 |
3 | 10012000120102200 |
4 | 2232120323220 |
5 | 43200341201 |
6 | 4311500200 |
7 | 1063400253 |
oct | 256307350 |
9 | 105016380 |
10 | 45715176 |
11 | 23894541 |
12 | 13387660 |
13 | 9618000 |
14 | 610009a |
15 | 4030386 |
hex | 2b98ee8 |
45715176 has 144 divisors (see below), whose sum is σ = 142478700. Its totient is φ = 13238784.
The previous prime is 45715171. The next prime is 45715199. The reversal of 45715176 is 67151754.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 476100 + 45239076 = 690^2 + 6726^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (29400) is a multiple of the sum of its prime divisors (35).
It is a self number, because there is not a number n which added to its sum of digits gives 45715176.
It is not an unprimeable number, because it can be changed into a prime (45715171) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2689120 + ... + 2689136.
Almost surely, 245715176 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 45715176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71239350).
45715176 is an abundant number, since it is smaller than the sum of its proper divisors (96763524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45715176 is a wasteful number, since it uses less digits than its factorization.
45715176 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 85 (or 35 counting only the distinct ones).
The product of its digits is 29400, while the sum is 36.
The square root of 45715176 is about 6761.2998750240. The cubic root of 45715176 is about 357.5637351931.
The spelling of 45715176 in words is "forty-five million, seven hundred fifteen thousand, one hundred seventy-six".
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