44100 has 81 divisors (see below), whose sum is σ = 160797. Its totient is φ = 10080.

The previous prime is 44089. The next prime is 44101. The reversal of 44100 is 144.

44100 = T_{209} + T_{210}.

44100 = 1^{3} + 2^{3} + ... + 20^{3}.

The square root of 44100 is 210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 28224 = 126^2 + 168^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 9, base 10 and base 15.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 44100.

It is not an unprimeable number, because it can be changed into a prime (44101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6297 + ... + 6303.

2^{44100} is an apocalyptic number.

44100 is the 210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44100

44100 is an abundant number, since it is smaller than the sum of its proper divisors (116697).

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

44100 is a wasteful number, since it uses less digits than its factorization.

44100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The cubic root of 44100 is about 35.3302081805.

Multiplying 44100 by its product of nonzero digits (16), we get a square (705600 = 840^{2}).

Adding to 44100 its reverse (144), we get a palindrome (44244).

Subtracting from 44100 its reverse (144), we obtain a triangular number (43956 = T_{296}).

Multiplying 44100 by its reverse (144), we get a square (6350400 = 2520^{2}).

It can be divided in two parts, 44 and 100, that added together give a square (144 = 12^{2}).

The spelling of 44100 in words is "forty-four thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 49 50 60 63 70 75 84 90 98 100 105 126 140 147 150 175 180 196 210 225 245 252 294 300 315 350 420 441 450 490 525 588 630 700 735 882 900 980 1050 1225 1260 1470 1575 1764 2100 2205 2450 2940 3150 3675 4410 4900 6300 7350 8820 11025 14700 22050 44100

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