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444574086 = 231125997107
BaseRepresentation
bin11010011111111…
…010100110000110
31010222112200222220
4122133322212012
51402302332321
6112040433210
714005550235
oct3237724606
91128480886
10444574086
11208a50100
12104a78806
137114a0b8
1443088b1c
152906a9c6
hex1a7fa986

444574086 has 96 divisors (see below), whose sum is σ = 1013523840. Its totient is φ = 129845760.

The previous prime is 444574079. The next prime is 444574087. The reversal of 444574086 is 680475444.

It is a super-2 number, since 2×4445740862 = 395292235885470792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444574087) by changing a digit.

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, 4154845 + ... + 4154951.

It is an arithmetic number, because the mean of its divisors is an integer number (10557540).

Almost surely, 2444574086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444574086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506761920).

444574086 is an abundant number, since it is smaller than the sum of its proper divisors (568949754).

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

444574086 is a wasteful number, since it uses less digits than its factorization.

444574086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 444574086 is about 21084.9255630652. The cubic root of 444574086 is about 763.2170224229.

The spelling of 444574086 in words is "four hundred forty-four million, five hundred seventy-four thousand, eighty-six".

Divisors: 1 2 3 6 11 22 33 59 66 97 107 118 121 177 194 214 242 291 321 354 363 582 642 649 726 1067 1177 1298 1947 2134 2354 3201 3531 3894 5723 6313 6402 7062 7139 10379 11446 11737 12626 12947 14278 17169 18939 20758 21417 23474 25894 31137 34338 35211 37878 38841 42834 62274 62953 69443 70422 77682 114169 125906 138886 188859 208329 228338 342507 377718 416658 612361 685014 692483 763873 1224722 1255859 1384966 1527746 1837083 2077449 2291619 2511718 3674166 3767577 4154898 4583238 6735971 7535154 13471942 20207913 40415826 74095681 148191362 222287043 444574086