Base | Representation |
---|---|
bin | 1010111010011… |
… | …0001100011100 |
3 | 10012010022221200 |
4 | 2232212030130 |
5 | 43204111000 |
6 | 4312555500 |
7 | 1064014530 |
oct | 256461434 |
9 | 105108850 |
10 | 45769500 |
11 | 23921337 |
12 | 133b2b90 |
13 | 963695a |
14 | 6115bc0 |
15 | 4041500 |
hex | 2ba631c |
45769500 has 144 divisors (see below), whose sum is σ = 165127872. Its totient is φ = 10454400.
The previous prime is 45769483. The next prime is 45769531. The reversal of 45769500 is 596754.
45769500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30774 + ... + 32226.
Almost surely, 245769500 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 45769500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82563936).
45769500 is an abundant number, since it is smaller than the sum of its proper divisors (119358372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45769500 is a wasteful number, since it uses less digits than its factorization.
45769500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1485 (or 1470 counting only the distinct ones).
The product of its (nonzero) digits is 37800, while the sum is 36.
The square root of 45769500 is about 6765.3159571449. The cubic root of 45769500 is about 357.7053118354.
The spelling of 45769500 in words is "forty-five million, seven hundred sixty-nine thousand, five hundred".
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