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442423410 = 235111327933
BaseRepresentation
bin11010010111101…
…101100001110010
31010211111102211020
4122113231201302
51401230022120
6111522400310
713651352112
oct3227554162
91124442736
10442423410
11207811290
12104200096
1370876200
1442a89042
1528c93640
hex1a5ed872

442423410 has 96 divisors (see below), whose sum is σ = 1254460608. Its totient is φ = 98991360.

The previous prime is 442423409. The next prime is 442423439. The reversal of 442423410 is 14324244.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51804 + ... + 59736.

It is an arithmetic number, because the mean of its divisors is an integer number (13067298).

Almost surely, 2442423410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442423410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627230304).

442423410 is an abundant number, since it is smaller than the sum of its proper divisors (812037198).

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

442423410 is a wasteful number, since it uses less digits than its factorization.

442423410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7980 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 442423410 is about 21033.8634111758. The cubic root of 442423410 is about 761.9843170903.

Adding to 442423410 its reverse (14324244), we get a palindrome (456747654).

It can be divided in two parts, 4424234 and 10, that added together give a palindrome (4424244).

The spelling of 442423410 in words is "four hundred forty-two million, four hundred twenty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 169 195 286 330 338 390 429 507 715 845 858 1014 1430 1690 1859 2145 2535 3718 4290 5070 5577 7933 9295 11154 15866 18590 23799 27885 39665 47598 55770 79330 87263 103129 118995 174526 206258 237990 261789 309387 436315 515645 523578 618774 872630 1031290 1134419 1308945 1340677 1546935 2268838 2617890 2681354 3093870 3403257 4022031 5672095 6703385 6806514 8044062 11344190 13406770 14747447 17016285 20110155 29494894 34032570 40220310 44242341 73737235 88484682 147474470 221211705 442423410