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444224016 = 24323084889
BaseRepresentation
bin11010011110100…
…101001000010000
31010221212220210100
4122132211020100
51402210132031
6112025132400
714002561515
oct3236451020
91127786710
10444224016
11208831095
1210492a100
1371056962
1442dd730c
1528eebde6
hex1a7a5210

444224016 has 30 divisors (see below), whose sum is σ = 1243210670. Its totient is φ = 148074624.

The previous prime is 444223999. The next prime is 444224023. The reversal of 444224016 is 610422444.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 234090000 + 210134016 = 15300^2 + 14496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1542301 + ... + 1542588.

Almost surely, 2444224016 is an apocalyptic number.

It is an amenable number.

444224016 is an abundant number, since it is smaller than the sum of its proper divisors (798986654).

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

444224016 is a wasteful number, since it uses less digits than its factorization.

444224016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084903 (or 3084894 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 444224016 is about 21076.6224998219. The cubic root of 444224016 is about 763.0166437157.

The spelling of 444224016 in words is "four hundred forty-four million, two hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3084889 6169778 9254667 12339556 18509334 24679112 27764001 37018668 49358224 55528002 74037336 111056004 148074672 222112008 444224016