Search a number
-
+
44000112 = 24313107659
BaseRepresentation
bin1010011111011…
…0001101110000
310001210102210210
42213312031300
542231000422
64211024120
71042665132
oct247661560
9101712723
1044000112
1122922a32
121289b040
139167490
145bb5052
153ce210c
hex29f6370

44000112 has 80 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 13391616.

The previous prime is 44000111. The next prime is 44000113. The reversal of 44000112 is 21100044.

It is an interprime number because it is at equal distance from previous prime (44000111) and next prime (44000113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66439 + ... + 67097.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 244000112 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 44000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

44000112 is an abundant number, since it is smaller than the sum of its proper divisors (79741968).

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

44000112 is a wasteful number, since it uses less digits than its factorization.

44000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 44000112 is about 6633.2580230231. The cubic root of 44000112 is about 353.0351330771.

Adding to 44000112 its reverse (21100044), we get a palindrome (65100156).

The spelling of 44000112 in words is "forty-four million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 624 642 659 856 1284 1318 1391 1712 1977 2568 2636 2782 3954 4173 5136 5272 5564 7908 8346 8567 10544 11128 15816 16692 17134 22256 25701 31632 33384 34268 51402 66768 68536 70513 102804 137072 141026 205608 211539 282052 411216 423078 564104 846156 916669 1128208 1692312 1833338 2750007 3384624 3666676 5500014 7333352 11000028 14666704 22000056 44000112