Search a number
-
+
44774289 = 347229389
BaseRepresentation
bin1010101011001…
…1001110010001
310010020202210000
42222303032101
542430234124
64235400213
71052401200
oct252631621
9103222700
1044774289
112330164a
1212bb3069
139378981
145d37237
153de66c9
hex2ab3391

44774289 has 60 divisors (see below), whose sum is σ = 80694900. Its totient is φ = 24639552.

The previous prime is 44774269. The next prime is 44774297. The reversal of 44774289 is 98247744.

44774289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16769025 + 28005264 = 4095^2 + 5292^2 .

It is not a de Polignac number, because 44774289 - 29 = 44773777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (44774239) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 114907 + ... + 115295.

It is an arithmetic number, because the mean of its divisors is an integer number (1344915).

Almost surely, 244774289 is an apocalyptic number.

44774289 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

44774289 is a deficient number, since it is larger than the sum of its proper divisors (35920611).

44774289 is a wasteful number, since it uses less digits than its factorization.

44774289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 44774289 is about 6691.3592789507. The cubic root of 44774289 is about 355.0936445411.

The spelling of 44774289 in words is "forty-four million, seven hundred seventy-four thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 21 27 29 49 63 81 87 147 189 203 261 389 441 567 609 783 1167 1323 1421 1827 2349 2723 3501 3969 4263 5481 8169 10503 11281 12789 16443 19061 24507 31509 33843 38367 57183 73521 78967 101529 115101 171549 220563 236901 304587 514647 552769 710703 913761 1543941 1658307 2132109 4974921 6396327 14924763 44774289