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44845000 = 23548969
BaseRepresentation
bin1010101100010…
…0011111001000
310010101100202221
42223010133020
542440020000
64241103424
71053114304
oct253043710
9103340687
1044845000
112334a792
1213027b74
1393a1c05
145d54d04
153e0c61a
hex2ac47c8

44845000 has 40 divisors (see below), whose sum is σ = 105083550. Its totient is φ = 17936000.

The previous prime is 44844973. The next prime is 44845007. The reversal of 44845000 is 54844.

It can be written as a sum of positive squares in 5 ways, for example, as 675684 + 44169316 = 822^2 + 6646^2 .

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

It is a super-2 number, since 2×448450002 = 4022148050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (44845007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 516 + ... + 9484.

Almost surely, 244845000 is an apocalyptic number.

44845000 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 44845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52541775).

44845000 is an abundant number, since it is smaller than the sum of its proper divisors (60238550).

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

44845000 is an equidigital number, since it uses as much as digits as its factorization.

44845000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8995 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 44845000 is about 6696.6409490132. The cubic root of 44845000 is about 355.2804766182.

Adding to 44845000 its reverse (54844), we get a palindrome (44899844).

The spelling of 44845000 in words is "forty-four million, eight hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 8969 17938 35876 44845 71752 89690 179380 224225 358760 448450 896900 1121125 1793800 2242250 4484500 5605625 8969000 11211250 22422500 44845000