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442210132 = 227132113827
BaseRepresentation
bin11010010110111…
…001011101010100
31010211002121021001
4122112321131110
51401201211012
6111514033044
713646503240
oct3226713524
91124077231
10442210132
11207686021
12104118784
1370800100
1442a31420
1528c50357
hex1a5b9754

442210132 has 72 divisors (see below), whose sum is σ = 967329216. Its totient is φ = 173182464.

The previous prime is 442210127. The next prime is 442210141. The reversal of 442210132 is 231012244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534303 + ... + 535129.

It is an arithmetic number, because the mean of its divisors is an integer number (13435128).

Almost surely, 2442210132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442210132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483664608).

442210132 is an abundant number, since it is smaller than the sum of its proper divisors (525119084).

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

442210132 is a wasteful number, since it uses less digits than its factorization.

442210132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 442210132 is about 21028.7929277931. The cubic root of 442210132 is about 761.8618547546.

Adding to 442210132 its reverse (231012244), we get a palindrome (673222376).

The spelling of 442210132 in words is "four hundred forty-two million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 113 169 182 226 338 364 452 676 791 827 1183 1469 1582 1654 2366 2938 3164 3308 4732 5789 5876 10283 10751 11578 19097 20566 21502 23156 38194 41132 43004 75257 76388 93451 133679 139763 150514 186902 267358 279526 301028 373804 534716 559052 654157 978341 1214863 1308314 1956682 2429726 2616628 3913364 4859452 8504041 15793219 17008082 31586438 34016164 63172876 110552533 221105066 442210132