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442554024 = 233116127481
BaseRepresentation
bin11010011000001…
…101011010101000
31010211202001222210
4122120031122220
51401243212044
6111525245120
713652434653
oct3230153250
91124661883
10442554024
112078a0430
121042637a0
13708c07b3
1442ac089a
1528cbc1b9
hex1a60d6a8

442554024 has 64 divisors (see below), whose sum is σ = 1226796480. Its totient is φ = 131904000.

The previous prime is 442553983. The next prime is 442554037. The reversal of 442554024 is 420455244.

It is a junction number, because it is equal to n+sod(n) for n = 442553982 and 442554000.

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, 2364 + ... + 29844.

It is an arithmetic number, because the mean of its divisors is an integer number (19168695).

Almost surely, 2442554024 is an apocalyptic number.

442554024 is a gapful number since it is divisible by the number (44) 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 442554024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613398240).

442554024 is an abundant number, since it is smaller than the sum of its proper divisors (784242456).

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

442554024 is a wasteful number, since it uses less digits than its factorization.

442554024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27562 (or 27558 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 442554024 is about 21036.9680324899. The cubic root of 442554024 is about 762.0592950600.

The spelling of 442554024 in words is "four hundred forty-two million, five hundred fifty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 2013 2684 4026 5368 8052 16104 27481 54962 82443 109924 164886 219848 302291 329772 604582 659544 906873 1209164 1676341 1813746 2418328 3352682 3627492 5029023 6705364 7254984 10058046 13410728 18439751 20116092 36879502 40232184 55319253 73759004 110638506 147518008 221277012 442554024