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442210420 = 225234123447
BaseRepresentation
bin11010010110111…
…001100001110100
31010211002121122201
4122112321201310
51401201213140
6111514034244
713646504131
oct3226714164
91124077581
10442210420
11207686263
12104118984
1370800292
1442a31588
1528c5049a
hex1a5b9874

442210420 has 48 divisors (see below), whose sum is σ = 992694528. Its totient is φ = 165059840.

The previous prime is 442210403. The next prime is 442210441. The reversal of 442210420 is 24012244.

It is a congruent number.

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, 7137 + ... + 30583.

It is an arithmetic number, because the mean of its divisors is an integer number (20681136).

Almost surely, 2442210420 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 442210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496347264).

442210420 is an abundant number, since it is smaller than the sum of its proper divisors (550484108).

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

442210420 is a wasteful number, since it uses less digits than its factorization.

442210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23520 (or 23518 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 442210420 is about 21028.7997755459. The cubic root of 442210420 is about 761.8620201482.

Adding to 442210420 its reverse (24012244), we get a palindrome (466222664).

The spelling of 442210420 in words is "four hundred forty-two million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 18860 23447 46894 93788 117235 234470 468940 539281 961327 1078562 1922654 2157124 2696405 3845308 4806635 5392810 9613270 10785620 19226540 22110521 44221042 88442084 110552605 221105210 442210420