Search a number
-
+
44013300 = 22352295059
BaseRepresentation
bin1010011111100…
…1011011110100
310001211002220020
42213321123310
542231411200
64211205140
71043051442
oct247713364
9101732806
1044013300
1122931931
12128a67b0
139170496
145bb9b92
153ce5ea0
hex29f96f4

44013300 has 72 divisors (see below), whose sum is σ = 131762400. Its totient is φ = 11329920.

The previous prime is 44013293. The next prime is 44013301. The reversal of 44013300 is 331044.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 44013300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44013301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6171 + ... + 11229.

Almost surely, 244013300 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 44013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65881200).

44013300 is an abundant number, since it is smaller than the sum of its proper divisors (87749100).

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

44013300 is a wasteful number, since it uses less digits than its factorization.

44013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 44013300 is about 6634.2520301840. The cubic root of 44013300 is about 353.0704008832.

Adding to 44013300 its reverse (331044), we get a palindrome (44344344).

The spelling of 44013300 in words is "forty-four million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 5059 8700 10118 15177 20236 25295 30354 50590 60708 75885 101180 126475 146711 151770 252950 293422 303540 379425 440133 505900 586844 733555 758850 880266 1467110 1517700 1760532 2200665 2934220 3667775 4401330 7335550 8802660 11003325 14671100 22006650 44013300