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442403478 = 2331117193227
BaseRepresentation
bin11010010111101…
…000101010010110
31010211110102111000
4122113220222112
51401223402403
6111522124130
713651240026
oct3227505226
91124412430
10442403478
112077a8310
121041b0646
137086a10a
1442a81a86
1528c8c7a3
hex1a5e8a96

442403478 has 128 divisors (see below), whose sum is σ = 1146493440. Its totient is φ = 124968960.

The previous prime is 442403473. The next prime is 442403509. The reversal of 442403478 is 874304244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442403473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1948801 + ... + 1949027.

It is an arithmetic number, because the mean of its divisors is an integer number (8956980).

Almost surely, 2442403478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442403478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573246720).

442403478 is an abundant number, since it is smaller than the sum of its proper divisors (704089962).

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

442403478 is a wasteful number, since it uses less digits than its factorization.

442403478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 442403478 is about 21033.3895984456. The cubic root of 442403478 is about 761.9728739801.

The spelling of 442403478 in words is "four hundred forty-two million, four hundred three thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 193 198 227 297 306 374 386 454 459 561 579 594 681 918 1122 1158 1362 1683 1737 2043 2123 2497 3281 3366 3474 3859 4086 4246 4994 5049 5211 6129 6369 6562 7491 7718 9843 10098 10422 11577 12258 12738 14982 19107 19686 22473 23154 29529 34731 36091 38214 42449 43811 44946 57321 59058 67419 69462 72182 84898 87622 88587 104193 108273 114642 127347 131433 134838 177174 208386 216546 254694 262866 324819 382041 394299 481921 649638 744787 764082 788598 963842 974457 1146123 1182897 1445763 1489574 1948914 2234361 2292246 2365794 2891526 4337289 4468722 6703083 8192657 8674578 13011867 13406166 16385314 20109249 24577971 26023734 40218498 49155942 73733913 147467826 221201739 442403478