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441422000 = 24531712983
BaseRepresentation
bin11010010011111…
…001000010110000
31010202121120010222
4122103321002300
51401001001000
6111445112212
713640011415
oct3223710260
91122546128
10441422000
11207197978
121039b8668
13705b5466
14428a810c
1528b46a85
hex1a4f90b0

441422000 has 80 divisors (see below), whose sum is σ = 1130231232. Its totient is φ = 166169600.

The previous prime is 441421997. The next prime is 441422027. The reversal of 441422000 is 224144.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 441422000.

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, 27509 + ... + 40491.

Almost surely, 2441422000 is an apocalyptic number.

441422000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565115616).

441422000 is an abundant number, since it is smaller than the sum of its proper divisors (688809232).

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

441422000 is a wasteful number, since it uses less digits than its factorization.

441422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13023 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 441422000 is about 21010.0452165149. The cubic root of 441422000 is about 761.4089744497.

Adding to 441422000 its reverse (224144), we get a palindrome (441646144).

The spelling of 441422000 in words is "four hundred forty-one million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 12983 17000 25966 34000 51932 64915 103864 129830 207728 220711 259660 324575 441422 519320 649150 882844 1038640 1103555 1298300 1622875 1765688 2207110 2596600 3245750 3531376 4414220 5193200 5517775 6491500 8828440 11035550 12983000 17656880 22071100 25966000 27588875 44142200 55177750 88284400 110355500 220711000 441422000