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441400995 = 355751899
BaseRepresentation
bin11010010011110…
…011111010100011
31010202120111100000
4122103303322203
51400444312440
6111444431043
713636563240
oct3223637243
91122514300
10441400995
11207183112
121039a8483
13705a8a29
14428a05c7
1528b40730
hex1a4f3ea3

441400995 has 48 divisors (see below), whose sum is σ = 906796800. Its totient is φ = 201779424.

The previous prime is 441400979. The next prime is 441401021. The reversal of 441400995 is 599004144.

It is a happy number.

It is not a de Polignac number, because 441400995 - 24 = 441400979 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17445 + ... + 34454.

It is an arithmetic number, because the mean of its divisors is an integer number (18891600).

Almost surely, 2441400995 is an apocalyptic number.

441400995 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

441400995 is an abundant number, since it is smaller than the sum of its proper divisors (465395805).

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

441400995 is an equidigital number, since it uses as much as digits as its factorization.

441400995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51926 (or 51914 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 441400995 is about 21009.5453306348. The cubic root of 441400995 is about 761.3968970806.

The spelling of 441400995 in words is "four hundred forty-one million, four hundred thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 1215 1701 2835 8505 51899 155697 259495 363293 467091 778485 1089879 1401273 1816465 2335455 3269637 4203819 5449395 7006365 9808911 12611457 16348185 21019095 29426733 49044555 63057285 88280199 147133665 441400995