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482790 = 235711219
BaseRepresentation
bin1110101110111100110
3220112021010
41311313212
5110422130
614203050
74050360
oct1656746
9815233
10482790
112aa800
121b3486
1313b999
14c7d30
15980b0
hex75de6

482790 has 96 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 95040.

The previous prime is 482789. The next prime is 482803. The reversal of 482790 is 97284.

482790 = 382 + 392 + ... + 1142.

482790 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 482790.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25401 + ... + 25419.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2482790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

482790 is an abundant number, since it is smaller than the sum of its proper divisors (1049370).

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

482790 is a wasteful number, since it uses less digits than its factorization.

482790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 482790 is about 694.8309146836. The cubic root of 482790 is about 78.4487609690.

The spelling of 482790 in words is "four hundred eighty-two thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 19 21 22 30 33 35 38 42 55 57 66 70 77 95 105 110 114 121 133 154 165 190 209 210 231 242 266 285 330 363 385 399 418 462 570 605 627 665 726 770 798 847 1045 1155 1210 1254 1330 1463 1694 1815 1995 2090 2299 2310 2541 2926 3135 3630 3990 4235 4389 4598 5082 6270 6897 7315 8470 8778 11495 12705 13794 14630 16093 21945 22990 25410 32186 34485 43890 48279 68970 80465 96558 160930 241395 482790