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44045300 = 225213171993
BaseRepresentation
bin1010100000000…
…1001111110100
310001212201210102
42220001033310
542233422200
64212013232
71043243645
oct250011764
9101781712
1044045300
1122953982
1212901218
139181c10
145bc76cc
153d006d5
hex2a013f4

44045300 has 72 divisors (see below), whose sum is σ = 109039896. Its totient is φ = 15298560.

The previous prime is 44045273. The next prime is 44045311. The reversal of 44045300 is 354044.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8737936 + 35307364 = 2956^2 + 5942^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21104 + ... + 23096.

It is an arithmetic number, because the mean of its divisors is an integer number (1514443).

Almost surely, 244045300 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 44045300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54519948).

44045300 is an abundant number, since it is smaller than the sum of its proper divisors (64994596).

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

44045300 is a wasteful number, since it uses less digits than its factorization.

44045300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 44045300 is about 6636.6633182647. The cubic root of 44045300 is about 353.1559471142.

Adding to 44045300 its reverse (354044), we get a palindrome (44399344).

The spelling of 44045300 in words is "forty-four million, forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 1993 2210 3986 4420 5525 7972 9965 11050 19930 22100 25909 33881 39860 49825 51818 67762 99650 103636 129545 135524 169405 199300 259090 338810 440453 518180 647725 677620 847025 880906 1295450 1694050 1761812 2202265 2590900 3388100 4404530 8809060 11011325 22022650 44045300