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44382690 = 232511127353
BaseRepresentation
bin1010100101001…
…1100111100010
310002111212121100
42221103213202
542330221230
64223135230
71046150412
oct251234742
9102455540
1044382690
1123064410
1212a44516
13926c661
145c74642
153d6a660
hex2a539e2

44382690 has 96 divisors (see below), whose sum is σ = 127236096. Its totient is φ = 10644480.

The previous prime is 44382659. The next prime is 44382697. The reversal of 44382690 is 9628344.

It is a happy number.

44382690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×443826902 = 3939646343272200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (44382697) 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 47 ways as a sum of consecutive naturals, for example, 125554 + ... + 125906.

It is an arithmetic number, because the mean of its divisors is an integer number (1325376).

Almost surely, 244382690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44382690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63618048).

44382690 is an abundant number, since it is smaller than the sum of its proper divisors (82853406).

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

44382690 is a wasteful number, since it uses less digits than its factorization.

44382690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 44382690 is about 6662.0334733473. The cubic root of 44382690 is about 354.0553872926.

The spelling of 44382690 in words is "forty-four million, three hundred eighty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 127 165 198 254 330 353 381 495 635 706 762 990 1059 1143 1270 1397 1765 1905 2118 2286 2794 3177 3530 3810 3883 4191 5295 5715 6354 6985 7766 8382 10590 11430 11649 12573 13970 15885 19415 20955 23298 25146 31770 34947 38830 41910 44831 58245 62865 69894 89662 116490 125730 134493 174735 224155 268986 349470 403479 448310 493141 672465 806958 986282 1344930 1479423 2017395 2465705 2958846 4034790 4438269 4931410 7397115 8876538 14794230 22191345 44382690