Search a number
-
+
44105532200 = 23521941927701
BaseRepresentation
bin101001000100111001…
…010000001100101000
311012211210100011220122
4221010321100030220
51210312004012300
632132314342412
73120655560302
oct510471201450
9135753304818
1044105532200
1117783472164
12866aa2aa08
13420b803862
1421c5952972
151232155c85
hexa44e50328

44105532200 has 96 divisors (see below), whose sum is σ = 108204012000. Its totient is φ = 16673184000.

The previous prime is 44105532179. The next prime is 44105532223. The reversal of 44105532200 is 223550144.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 44105532200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1578350 + ... + 1606050.

It is an arithmetic number, because the mean of its divisors is an integer number (1127125125).

Almost surely, 244105532200 is an apocalyptic number.

44105532200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44105532200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54102006000).

44105532200 is an abundant number, since it is smaller than the sum of its proper divisors (64098479800).

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

44105532200 is a wasteful number, since it uses less digits than its factorization.

44105532200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28155 (or 28146 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 44105532200 in words is "forty-four billion, one hundred five million, five hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 419 475 760 838 950 1676 1900 2095 3352 3800 4190 7961 8380 10475 15922 16760 20950 27701 31844 39805 41900 55402 63688 79610 83800 110804 138505 159220 199025 221608 277010 318440 398050 526319 554020 692525 796100 1052638 1108040 1385050 1592200 2105276 2631595 2770100 4210552 5263190 5540200 10526380 11606719 13157975 21052760 23213438 26315950 46426876 52631900 58033595 92853752 105263800 116067190 220527661 232134380 290167975 441055322 464268760 580335950 882110644 1102638305 1160671900 1764221288 2205276610 2321343800 4410553220 5513191525 8821106440 11026383050 22052766100 44105532200