Base | Representation |
---|---|
bin | 1010111001100… |
… | …0010011000000 |
3 | 10012000102212101 |
4 | 2232120103000 |
5 | 43200300301 |
6 | 4311440144 |
7 | 1063356550 |
oct | 256302300 |
9 | 105012771 |
10 | 45712576 |
11 | 23892598 |
12 | 13386054 |
13 | 9616a80 |
14 | 60dd160 |
15 | 402e701 |
hex | 2b984c0 |
45712576 has 112 divisors (see below), whose sum is σ = 114702336. Its totient is φ = 17593344.
The previous prime is 45712573. The next prime is 45712577. The reversal of 45712576 is 67521754.
It is a tau number, because it is divible by the number of its divisors (112).
It is not an unprimeable number, because it can be changed into a prime (45712571) 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, 273645 + ... + 273811.
It is an arithmetic number, because the mean of its divisors is an integer number (1024128).
Almost surely, 245712576 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 45712576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57351168).
45712576 is an abundant number, since it is smaller than the sum of its proper divisors (68989760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45712576 is a wasteful number, since it uses less digits than its factorization.
45712576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 246 (or 236 counting only the distinct ones).
The product of its digits is 58800, while the sum is 37.
The square root of 45712576 is about 6761.1076015694. The cubic root of 45712576 is about 357.5569563841.
The spelling of 45712576 in words is "forty-five million, seven hundred twelve thousand, five hundred seventy-six".
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