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45020200 = 2352239787
BaseRepresentation
bin1010101110111…
…1010000101000
310010201021002211
42223233100220
543011121300
64244534504
71054444141
oct253572050
9103637084
1045020200
112345a385
12130b1434
139433894
145d9cac8
153e444ba
hex2aef428

45020200 has 48 divisors (see below), whose sum is σ = 109234080. Its totient is φ = 17223360.

The previous prime is 45020189. The next prime is 45020203. The reversal of 45020200 is 202054.

It is a happy number.

45020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45020203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 294 + ... + 9493.

It is an arithmetic number, because the mean of its divisors is an integer number (2275710).

Almost surely, 245020200 is an apocalyptic number.

45020200 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 45020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54617040).

45020200 is an abundant number, since it is smaller than the sum of its proper divisors (64213880).

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

45020200 is a wasteful number, since it uses less digits than its factorization.

45020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 45020200 is about 6709.7093826782. The cubic root of 45020200 is about 355.7425441502.

Adding to 45020200 its reverse (202054), we get a palindrome (45222254).

The spelling of 45020200 in words is "forty-five million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 9787 19574 39148 48935 78296 97870 195740 225101 244675 391480 450202 489350 900404 978700 1125505 1800808 1957400 2251010 4502020 5627525 9004040 11255050 22510100 45020200