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444572920 = 235117313841
BaseRepresentation
bin11010011111111…
…010010011111000
31010222112122101201
4122133322103320
51402302313140
6112040423544
714005543651
oct3237722370
91128478351
10444572920
11208a4a240
12104a77bb4
13711496cc
1443088528
152906a49a
hex1a7fa4f8

444572920 has 64 divisors (see below), whose sum is σ = 1106252640. Its totient is φ = 159436800.

The previous prime is 444572893. The next prime is 444572923. The reversal of 444572920 is 29275444.

It is a self number, because there is not a number n which added to its sum of digits gives 444572920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444572923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25200 + ... + 39040.

Almost surely, 2444572920 is an apocalyptic number.

444572920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444572920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553126320).

444572920 is an abundant number, since it is smaller than the sum of its proper divisors (661679720).

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

444572920 is a wasteful number, since it uses less digits than its factorization.

444572920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13936 (or 13932 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 444572920 is about 21084.8979129613. The cubic root of 444572920 is about 763.2163551837.

The spelling of 444572920 in words is "four hundred forty-four million, five hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6424 8030 13841 16060 27682 32120 55364 69205 110728 138410 152251 276820 304502 553640 609004 761255 1010393 1218008 1522510 2020786 3045020 4041572 5051965 6090040 8083144 10103930 11114323 20207860 22228646 40415720 44457292 55571615 88914584 111143230 222286460 444572920