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445581056 = 2829471277
BaseRepresentation
bin11010100011110…
…000011100000000
31011001102212022002
4122203300130000
51403032043211
6112114203132
714020243064
oct3243603400
91131385262
10445581056
11209578708
121052834a8
137141053b
144326baa4
15291b903b
hex1a8f0700

445581056 has 72 divisors (see below), whose sum is σ = 940403520. Its totient is φ = 210366464.

The previous prime is 445581053. The next prime is 445581061. The reversal of 445581056 is 650185544.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445581053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348290 + ... + 349566.

It is an arithmetic number, because the mean of its divisors is an integer number (13061160).

Almost surely, 2445581056 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 445581056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470201760).

445581056 is an abundant number, since it is smaller than the sum of its proper divisors (494822464).

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

445581056 is a wasteful number, since it uses less digits than its factorization.

445581056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The square root of 445581056 is about 21108.7909649037. The cubic root of 445581056 is about 763.7928223084.

The spelling of 445581056 in words is "four hundred forty-five million, five hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 188 232 256 376 464 752 928 1277 1363 1504 1856 2554 2726 3008 3712 5108 5452 6016 7424 10216 10904 12032 20432 21808 37033 40864 43616 60019 74066 81728 87232 120038 148132 163456 174464 240076 296264 326912 348928 480152 592528 960304 1185056 1740551 1920608 2370112 3481102 3841216 4740224 6962204 7682432 9480448 13924408 15364864 27848816 55697632 111395264 222790528 445581056