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445653056 = 2619219289
BaseRepresentation
bin11010100100000…
…010000001000000
31011001120112001202
4122210002001000
51403041344211
6112115520332
714020663022
oct3244020100
91131515052
10445653056
11209617812
121052b90a8
1371437244
144328a012
15291d053b
hex1a902040

445653056 has 42 divisors (see below), whose sum is σ = 933385230. Its totient is φ = 211087872.

The previous prime is 445653053. The next prime is 445653071. The reversal of 445653056 is 650356544.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 408686656 + 36966400 = 20216^2 + 6080^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (445653053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13460 + ... + 32748.

Almost surely, 2445653056 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 445653056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466692615).

445653056 is an abundant number, since it is smaller than the sum of its proper divisors (487732174).

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

445653056 is a wasteful number, since it uses less digits than its factorization.

445653056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19339 (or 19310 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The square root of 445653056 is about 21110.4963466045. The cubic root of 445653056 is about 763.8339596957.

The spelling of 445653056 in words is "four hundred forty-five million, six hundred fifty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5776 11552 19289 23104 38578 77156 154312 308624 366491 617248 732982 1234496 1465964 2931928 5863856 6963329 11727712 13926658 23455424 27853316 55706632 111413264 222826528 445653056