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4445298320 = 245233177933
BaseRepresentation
bin1000010001111010…
…11101111010010000
3102110210121112220112
410020331131322100
533100444021240
62013034100452
7215105261261
oct41075357220
912423545815
104445298320
111981289471
12a4087a728
1355ac63348
1430254a968
151b03d5665
hex108f5de90

4445298320 has 80 divisors (see below), whose sum is σ = 11132716032. Its totient is φ = 1645923840.

The previous prime is 4445298287. The next prime is 4445298373. The reversal of 4445298320 is 238925444.

It is a tau number, because it is divible by the number of its divisors (80).

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, 18074 + ... + 96006.

Almost surely, 24445298320 is an apocalyptic number.

4445298320 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 4445298320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566358016).

4445298320 is an abundant number, since it is smaller than the sum of its proper divisors (6687417712).

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

4445298320 is a wasteful number, since it uses less digits than its factorization.

4445298320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78000 (or 77994 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 4445298320 is about 66673.0704257724. The cubic root of 4445298320 is about 1644.2466680550.

The spelling of 4445298320 in words is "four billion, four hundred forty-five million, two hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 620 713 920 1240 1426 1840 2480 2852 3565 5704 7130 11408 14260 28520 57040 77933 155866 311732 389665 623464 779330 1246928 1558660 1792459 2415923 3117320 3584918 4831846 6234640 7169836 8962295 9663692 12079615 14339672 17924590 19327384 24159230 28679344 35849180 38654768 48318460 55566229 71698360 96636920 111132458 143396720 193273840 222264916 277831145 444529832 555662290 889059664 1111324580 2222649160 4445298320