Base | Representation |
---|---|
bin | 1010110100100… |
… | …0000100000000 |
3 | 10011101202001112 |
4 | 2231020010000 |
5 | 43104241221 |
6 | 4300422452 |
7 | 1060520453 |
oct | 255100400 |
9 | 104352045 |
10 | 45383936 |
11 | 23688694 |
12 | 13247a28 |
13 | 9530300 |
14 | 605549a |
15 | 3eb715b |
hex | 2b48100 |
45383936 has 54 divisors (see below), whose sum is σ = 98188650. Its totient is φ = 20926464.
The previous prime is 45383909. The next prime is 45383971. The reversal of 45383936 is 63938354.
It can be written as a sum of positive squares in 3 ways, for example, as 2560000 + 42823936 = 1600^2 + 6544^2 .
It is a junction number, because it is equal to n+sod(n) for n = 45383893 and 45383902.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42740 + ... + 43788.
Almost surely, 245383936 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 45383936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49094325).
45383936 is an abundant number, since it is smaller than the sum of its proper divisors (52804714).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45383936 is a wasteful number, since it uses less digits than its factorization.
45383936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1091 (or 1064 counting only the distinct ones).
The product of its digits is 233280, while the sum is 41.
The square root of 45383936 is about 6736.7600521319. The cubic root of 45383936 is about 356.6980370502.
The spelling of 45383936 in words is "forty-five million, three hundred eighty-three thousand, nine hundred thirty-six".
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