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483809144 = 237213267109
BaseRepresentation
bin11100110101100…
…101011101111000
31020201101001101012
4130311211131320
51442323343034
6120001413052
714663211200
oct3465453570
91221331335
10483809144
11229108a75
1211603a188
1379306700
144837d400
152c71acce
hex1cd65778

483809144 has 144 divisors (see below), whose sum is σ = 1170358200. Its totient is φ = 186810624.

The previous prime is 483809113. The next prime is 483809149. The reversal of 483809144 is 441908384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483809149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4438562 + ... + 4438670.

Almost surely, 2483809144 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 483809144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585179100).

483809144 is an abundant number, since it is smaller than the sum of its proper divisors (686549056).

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

483809144 is a wasteful number, since it uses less digits than its factorization.

483809144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 483809144 is about 21995.6619359364. The cubic root of 483809144 is about 785.0392255948.

The spelling of 483809144 in words is "four hundred eighty-three million, eight hundred nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 67 91 98 104 109 134 169 182 196 218 268 338 364 392 436 469 536 637 676 728 763 871 872 938 1183 1274 1352 1417 1526 1742 1876 2366 2548 2834 3052 3283 3484 3752 4732 5096 5341 5668 6097 6104 6566 6968 7303 8281 9464 9919 10682 11323 11336 12194 13132 14606 16562 18421 19838 21364 22646 24388 26264 29212 33124 36842 39676 42679 42728 45292 48776 51121 58424 66248 69433 73684 79261 79352 85358 90584 94939 102242 128947 138866 147368 158522 170716 189878 204484 257894 277732 317044 341432 357847 379756 408968 515788 554827 555464 634088 664573 715694 759512 902629 1031576 1109654 1234207 1329146 1431388 1805258 2219308 2468414 2658292 2862776 3610516 4438616 4652011 4936828 5316584 7221032 8639449 9304022 9873656 17278898 18608044 34557796 37216088 60476143 69115592 120952286 241904572 483809144