Base | Representation |
---|---|
bin | 1010111100101… |
… | …0001101000000 |
3 | 10012101211021100 |
4 | 2233022031000 |
5 | 43223320432 |
6 | 4320054400 |
7 | 1065200532 |
oct | 257121500 |
9 | 105354240 |
10 | 45916992 |
11 | 23a12130 |
12 | 13464400 |
13 | 9688b24 |
14 | 6153852 |
15 | 407007c |
hex | 2bca340 |
45916992 has 84 divisors (see below), whose sum is σ = 143597376. Its totient is φ = 13912320.
The previous prime is 45916961. The next prime is 45916999. The reversal of 45916992 is 29961954.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45916999) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2713 + ... + 9959.
Almost surely, 245916992 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 45916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71798688).
45916992 is an abundant number, since it is smaller than the sum of its proper divisors (97680384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45916992 is a wasteful number, since it uses less digits than its factorization.
45916992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7276 (or 7263 counting only the distinct ones).
The product of its digits is 174960, while the sum is 45.
The square root of 45916992 is about 6776.2077890218. The cubic root of 45916992 is about 358.0891344070.
The spelling of 45916992 in words is "forty-five million, nine hundred sixteen thousand, nine hundred ninety-two".
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