Search a number
-
+
5045000 = 23541009
BaseRepresentation
bin10011001111101100001000
3100111022102212
4103033230020
52242420000
6300044252
760611312
oct23175410
910438385
105045000
112936424
121833688
13107840c
149547b2
15699c35
hex4cfb08

5045000 has 40 divisors (see below), whose sum is σ = 11832150. Its totient is φ = 2016000.

The previous prime is 5044999. The next prime is 5045003. The reversal of 5045000 is 5405.

It can be written as a sum of positive squares in 5 ways, for example, as 484 + 5044516 = 22^2 + 2246^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (5045003) 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 9 ways as a sum of consecutive naturals, for example, 4496 + ... + 5504.

Almost surely, 25045000 is an apocalyptic number.

5045000 is a gapful number since it is divisible by the number (50) 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 5045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916075).

5045000 is an abundant number, since it is smaller than the sum of its proper divisors (6787150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5045000 is a wasteful number, since it uses less digits than its factorization.

5045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 5045000 is about 2246.1077445216. The cubic root of 5045000 is about 171.5090561223.

It can be divided in two parts, 50 and 45000, that multiplied together give a square (2250000 = 15002).

The spelling of 5045000 in words is "five million, forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1009 1250 2018 2500 4036 5000 5045 8072 10090 20180 25225 40360 50450 100900 126125 201800 252250 504500 630625 1009000 1261250 2522500 5045000