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44109 = 3213229
BaseRepresentation
bin1010110001001101
32020111200
422301031
52402414
6540113
7242412
oct126115
966450
1044109
113015a
1221639
1317100
1412109
15d109
hexac4d

44109 has 18 divisors (see below), whose sum is σ = 71370. Its totient is φ = 26208.

The previous prime is 44101. The next prime is 44111. The reversal of 44109 is 90144.

44109 = 282 + 292 + ... + 532.

44109 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9 + 44100 = 3^2 + 210^2 .

It is not a de Polignac number, because 44109 - 23 = 44101 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

44109 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 44091 and 44100.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 1507 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (3965).

244109 is an apocalyptic number.

It is an amenable number.

44109 is a deficient number, since it is larger than the sum of its proper divisors (27261).

44109 is a wasteful number, since it uses less digits than its factorization.

44109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 44109 is about 210.0214274782. The cubic root of 44109 is about 35.3326114326.

Adding to 44109 its product of nonzero digits (144), we get a triangular number (44253 = T297).

It can be divided in two parts, 44 and 109, that added together give a triangular number (153 = T17).

The spelling of 44109 in words is "forty-four thousand, one hundred nine".

Divisors: 1 3 9 13 29 39 87 117 169 261 377 507 1131 1521 3393 4901 14703 44109