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484959020 = 2257132103199
BaseRepresentation
bin11100111001111…
…110001100101100
31020210112110201012
4130321332030230
51443122142040
6120042204352
715006040460
oct3471761454
91223473635
10484959020
11229823987
121164b36b8
1379619c00
144859c4a0
152c896865
hex1ce7e32c

484959020 has 144 divisors (see below), whose sum is σ = 1278950400. Its totient is φ = 151227648.

The previous prime is 484958993. The next prime is 484959043. The reversal of 484959020 is 20959484.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2436881 + ... + 2437079.

It is an arithmetic number, because the mean of its divisors is an integer number (8881600).

Almost surely, 2484959020 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 484959020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639475200).

484959020 is an abundant number, since it is smaller than the sum of its proper divisors (793991380).

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

484959020 is a wasteful number, since it uses less digits than its factorization.

484959020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 484959020 is about 22021.7851229186. The cubic root of 484959020 is about 785.6606714459.

The spelling of 484959020 in words is "four hundred eighty-four million, nine hundred fifty-nine thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 103 130 140 169 182 199 206 260 338 364 398 412 455 515 676 721 796 845 910 995 1030 1183 1339 1393 1442 1690 1820 1990 2060 2366 2587 2678 2786 2884 3380 3605 3980 4732 5174 5356 5572 5915 6695 6965 7210 9373 10348 11830 12935 13390 13930 14420 17407 18109 18746 20497 23660 25870 26780 27860 33631 34814 36218 37492 40994 46865 51740 67262 69628 72436 81988 87035 90545 93730 102485 121849 134524 143479 168155 174070 181090 187460 204970 235417 243698 266461 286958 336310 348140 362180 409940 470834 487396 532922 573916 609245 672620 717395 941668 1065844 1177085 1218490 1332305 1434790 1865227 2354170 2436980 2664610 2869580 3463993 3730454 4708340 5329220 6927986 7460908 9326135 13855972 17319965 18652270 24247951 34639930 37304540 48495902 69279860 96991804 121239755 242479510 484959020