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444554420 = 225173074259
BaseRepresentation
bin11010011111110…
…101110010110100
31010222111201000112
4122133311302310
51402301220140
6112040202152
714005436012
oct3237656264
91128451015
10444554420
11208a37352
12104a69358
137114116b
14430818b2
1529064c65
hex1a7f5cb4

444554420 has 48 divisors (see below), whose sum is σ = 991932480. Its totient is φ = 166777344.

The previous prime is 444554389. The next prime is 444554459. The reversal of 444554420 is 24455444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102251 + ... + 106509.

It is an arithmetic number, because the mean of its divisors is an integer number (20665260).

Almost surely, 2444554420 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 444554420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495966240).

444554420 is an abundant number, since it is smaller than the sum of its proper divisors (547378060).

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

444554420 is a wasteful number, since it uses less digits than its factorization.

444554420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 32.

The square root of 444554420 is about 21084.4592057752. The cubic root of 444554420 is about 763.2057684702.

The spelling of 444554420 in words is "four hundred forty-four million, five hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 307 340 614 1228 1535 3070 4259 5219 6140 8518 10438 17036 20876 21295 26095 42590 52190 72403 85180 104380 144806 289612 362015 724030 1307513 1448060 2615026 5230052 6537565 13075130 22227721 26150260 44455442 88910884 111138605 222277210 444554420