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444454220 = 225726312071
BaseRepresentation
bin11010011111011…
…101010101001100
31010222022121120102
4122133131111030
51402240013340
6112034110232
714004540620
oct3237352514
91128277512
10444454220
11208979041
12104a1b378
1371107682
1443057180
1529045215
hex1a7dd54c

444454220 has 48 divisors (see below), whose sum is σ = 1070834688. Its totient is φ = 151792320.

The previous prime is 444454217. The next prime is 444454229. The reversal of 444454220 is 22454444.

It is not an unprimeable number, because it can be changed into a prime (444454229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30785 + ... + 42855.

It is an arithmetic number, because the mean of its divisors is an integer number (22309056).

Almost surely, 2444454220 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 444454220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535417344).

444454220 is an abundant number, since it is smaller than the sum of its proper divisors (626380468).

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

444454220 is a wasteful number, since it uses less digits than its factorization.

444454220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12350 (or 12348 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 29.

The square root of 444454220 is about 21082.0829141715. The cubic root of 444454220 is about 763.1484234367.

The spelling of 444454220 in words is "four hundred forty-four million, four hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 1052 1315 1841 2630 3682 5260 7364 9205 12071 18410 24142 36820 48284 60355 84497 120710 168994 241420 337988 422485 844970 1689940 3174673 6349346 12698692 15873365 22222711 31746730 44445422 63493460 88890844 111113555 222227110 444454220