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442589055 = 35413831879
BaseRepresentation
bin11010011000010…
…101111101111111
31010211210212001020
4122120111331333
51401300322210
6111530115223
713652642046
oct3230257577
91124725036
10442589055
11207914787
1210427bb13
137090371c
1442acd55d
1528cc7770
hex1a615f7f

442589055 has 32 divisors (see below), whose sum is σ = 727695360. Its totient is φ = 229566720.

The previous prime is 442589027. The next prime is 442589057. The reversal of 442589055 is 550985244.

It is not a de Polignac number, because 442589055 - 29 = 442588543 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442588998 and 442589016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442589057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234606 + ... + 236484.

It is an arithmetic number, because the mean of its divisors is an integer number (22740480).

Almost surely, 2442589055 is an apocalyptic number.

442589055 is a deficient number, since it is larger than the sum of its proper divisors (285106305).

442589055 is a wasteful number, since it uses less digits than its factorization.

442589055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311.

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 442589055 is about 21037.8006217380. The cubic root of 442589055 is about 762.0794018292.

The spelling of 442589055 in words is "four hundred forty-two million, five hundred eighty-nine thousand, fifty-five".

Divisors: 1 3 5 15 41 123 205 383 615 1149 1879 1915 5637 5745 9395 15703 28185 47109 77039 78515 231117 235545 385195 719657 1155585 2158971 3598285 10794855 29505937 88517811 147529685 442589055