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455556112 = 241189127229
BaseRepresentation
bin11011001001110…
…011110000010000
31011202012122111121
4123021303300100
51413110243422
6113112052024
714201106634
oct3311636020
91152178447
10455556112
11214171060
12108694014
13734c393b
1444706dc4
1529ed98c7
hex1b273c10

455556112 has 80 divisors (see below), whose sum is σ = 985651200. Its totient is φ = 202245120.

The previous prime is 455556109. The next prime is 455556119. The reversal of 455556112 is 211655554.

It is not an unprimeable number, because it can be changed into a prime (455556119) by changing a digit.

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, 1989214 + ... + 1989442.

It is an arithmetic number, because the mean of its divisors is an integer number (12320640).

Almost surely, 2455556112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455556112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492825600).

455556112 is an abundant number, since it is smaller than the sum of its proper divisors (530095088).

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

455556112 is a wasteful number, since it uses less digits than its factorization.

455556112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its digits is 30000, while the sum is 34.

The square root of 455556112 is about 21343.7604934088. The cubic root of 455556112 is about 769.4503932028.

The spelling of 455556112 in words is "four hundred fifty-five million, five hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 89 127 176 178 229 254 356 458 508 712 916 979 1016 1397 1424 1832 1958 2032 2519 2794 3664 3916 5038 5588 7832 10076 11176 11303 15664 20152 20381 22352 22606 29083 40304 40762 45212 58166 81524 90424 116332 124333 163048 180848 224191 232664 248666 319913 326096 448382 465328 497332 639826 896764 994664 1279652 1793528 1989328 2559304 2588387 3587056 5118608 5176774 10353548 20707096 28472257 41414192 56944514 113889028 227778056 455556112