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44465000 = 23548893
BaseRepresentation
bin1010100110011…
…1101101101000
310002200001111212
42221213231220
542340340000
64225012252
71046642366
oct251475550
9102601455
1044465000
1123110238
1212a84088
13929ac68
145c96636
153d84c35
hex2a67b68

44465000 has 40 divisors (see below), whose sum is σ = 104193210. Its totient is φ = 17784000.

The previous prime is 44464969. The next prime is 44465011. The reversal of 44465000 is 56444.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 401956 + 44063044 = 634^2 + 6638^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 554 + ... + 9446.

Almost surely, 244465000 is an apocalyptic number.

44465000 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 44465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52096605).

44465000 is an abundant number, since it is smaller than the sum of its proper divisors (59728210).

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

44465000 is an equidigital number, since it uses as much as digits as its factorization.

44465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 44465000 is about 6668.2081551193. The cubic root of 44465000 is about 354.2741234873.

The spelling of 44465000 in words is "forty-four million, four hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 8893 17786 35572 44465 71144 88930 177860 222325 355720 444650 889300 1111625 1778600 2223250 4446500 5558125 8893000 11116250 22232500 44465000