Search a number
-
+
44689344 = 263741811
BaseRepresentation
bin1010101001111…
…0011111000000
310010002110020220
42222132133000
542420024334
64233503040
71051565430
oct252363700
9103073226
1044689344
1123253847
1212b71a80
1393490cb
145d142c0
153dcb449
hex2a9e7c0

44689344 has 112 divisors (see below), whose sum is σ = 138598656. Its totient is φ = 12441600.

The previous prime is 44689327. The next prime is 44689399. The reversal of 44689344 is 44398644.

44689344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (331776) is a multiple of the sum of its prime divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 44689296 and 44689305.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 54699 + ... + 55509.

It is an arithmetic number, because the mean of its divisors is an integer number (1237488).

Almost surely, 244689344 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 44689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69299328).

44689344 is an abundant number, since it is smaller than the sum of its proper divisors (93909312).

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

44689344 is a wasteful number, since it uses less digits than its factorization.

44689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 44689344 is about 6685.0089005176. The cubic root of 44689344 is about 354.8689432254.

The spelling of 44689344 in words is "forty-four million, six hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 811 861 984 1148 1312 1344 1622 1722 1968 2296 2433 2624 3244 3444 3936 4592 4866 5677 6488 6888 7872 9184 9732 11354 12976 13776 17031 18368 19464 22708 25952 27552 33251 34062 38928 45416 51904 55104 66502 68124 77856 90832 99753 133004 136248 155712 181664 199506 232757 266008 272496 363328 399012 465514 532016 544992 698271 798024 931028 1064032 1089984 1396542 1596048 1862056 2128064 2793084 3192096 3724112 5586168 6384192 7448224 11172336 14896448 22344672 44689344