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442393160 = 235111005439
BaseRepresentation
bin11010010111100…
…110001001001000
31010211102220022212
4122113212021020
51401223040120
6111522004252
713651164656
oct3227461110
91124386285
10442393160
112077a0590
121041a6688
1370865501
1442a7bdd6
1528c896c5
hex1a5e6248

442393160 has 32 divisors (see below), whose sum is σ = 1085875200. Its totient is φ = 160870080.

The previous prime is 442393153. The next prime is 442393163. The reversal of 442393160 is 61393244.

It is not an unprimeable number, because it can be changed into a prime (442393163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502280 + ... + 503159.

It is an arithmetic number, because the mean of its divisors is an integer number (33933600).

Almost surely, 2442393160 is an apocalyptic number.

442393160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442393160 is an abundant number, since it is smaller than the sum of its proper divisors (643482040).

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

442393160 is a wasteful number, since it uses less digits than its factorization.

442393160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005461 (or 1005457 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 442393160 is about 21033.1443203340. The cubic root of 442393160 is about 761.9669502042.

The spelling of 442393160 in words is "four hundred forty-two million, three hundred ninety-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1005439 2010878 4021756 5027195 8043512 10054390 11059829 20108780 22119658 40217560 44239316 55299145 88478632 110598290 221196580 442393160