Search a number
-
+
44394882 = 23722941127
BaseRepresentation
bin1010100101011…
…0100110000010
310002112111022220
42221112212002
542331114012
64223311510
71046231100
oct251264602
9102474286
1044394882
1123072594
1212a4b596
13927507c
145c78c70
153d6e08c
hex2a56982

44394882 has 96 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 11854080.

The previous prime is 44394881. The next prime is 44394901. The reversal of 44394882 is 28849344.

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

Its product of digits (221184) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (44394881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349503 + ... + 349629.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 244394882 is an apocalyptic number.

44394882 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44394882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

44394882 is an abundant number, since it is smaller than the sum of its proper divisors (65920638).

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

44394882 is a wasteful number, since it uses less digits than its factorization.

44394882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 44394882 is about 6662.9484464462. The cubic root of 44394882 is about 354.0878041957.

The spelling of 44394882 in words is "forty-four million, three hundred ninety-four thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 29 41 42 49 58 82 87 98 123 127 147 174 203 246 254 287 294 381 406 574 609 762 861 889 1189 1218 1421 1722 1778 2009 2378 2667 2842 3567 3683 4018 4263 5207 5334 6027 6223 7134 7366 8323 8526 10414 11049 12054 12446 15621 16646 18669 22098 24969 25781 31242 36449 37338 49938 51562 58261 72898 77343 109347 116522 151003 154686 174783 180467 218694 255143 302006 349566 360934 453009 510286 541401 765429 906018 1057021 1082802 1530858 2114042 3171063 6342126 7399147 14798294 22197441 44394882