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445501056 = 273711131961
BaseRepresentation
bin11010100011011…
…100111010000000
31011001021210120010
4122203130322000
51403022013211
6112112344520
714016460620
oct3243347200
91131253503
10445501056
112095235a0
12105245140
13713b2cc0
144324a880
15291a04a6
hex1a8dce80

445501056 has 512 divisors, whose sum is σ = 1699891200. Its totient is φ = 99532800.

The previous prime is 445501013. The next prime is 445501061. The reversal of 445501056 is 650105544.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7303266 + ... + 7303326.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2445501056 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 445501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849945600).

445501056 is an abundant number, since it is smaller than the sum of its proper divisors (1254390144).

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

445501056 is a wasteful number, since it uses less digits than its factorization.

445501056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 445501056 is about 21106.8959347413. The cubic root of 445501056 is about 763.7471089025.

It can be divided in two parts, 445 and 501056, that added together give a triangular number (501501 = T1001).

The spelling of 445501056 in words is "four hundred forty-five million, five hundred one thousand, fifty-six".