Base | Representation |
---|---|
bin | 1010111000111… |
… | …0001010000000 |
3 | 10011221022220000 |
4 | 2232032022000 |
5 | 43142433130 |
6 | 4310520000 |
7 | 1063124502 |
oct | 256161200 |
9 | 104838800 |
10 | 45671040 |
11 | 23864368 |
12 | 13366000 |
13 | 9600bac |
14 | 60cbd72 |
15 | 4022260 |
hex | 2b8e280 |
45671040 has 160 divisors (see below), whose sum is σ = 163284660. Its totient is φ = 12165120.
The previous prime is 45671023. The next prime is 45671047. The reversal of 45671040 is 4017654.
It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 2742336 = 6552^2 + 1656^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a hoax number, since the sum of its digits (27) 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 (27).
It is a junction number, because it is equal to n+sod(n) for n = 45670995 and 45671013.
It is not an unprimeable number, because it can be changed into a prime (45671047) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51400 + ... + 52280.
Almost surely, 245671040 is an apocalyptic number.
45671040 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 45671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81642330).
45671040 is an abundant number, since it is smaller than the sum of its proper divisors (117613620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45671040 is an equidigital number, since it uses as much as digits as its factorization.
45671040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 912 (or 891 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 27.
The square root of 45671040 is about 6758.0352174282. The cubic root of 45671040 is about 357.4486274332.
Adding to 45671040 its reverse (4017654), we get a palindrome (49688694).
The spelling of 45671040 in words is "forty-five million, six hundred seventy-one thousand, forty".
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