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498684420 = 2232513534021
BaseRepresentation
bin11101101110010…
…101001000000100
31021202100210102100
4131232111020010
52010130400140
6121252312100
715233514303
oct3556251004
91252323370
10498684420
11236548a93
1211b012630
137c414350
144a33243a
152dba8530
hex1db95204

498684420 has 144 divisors (see below), whose sum is σ = 1660185072. Its totient is φ = 120407040.

The previous prime is 498684397. The next prime is 498684451. The reversal of 498684420 is 24486894.

It can be written as a sum of positive squares in 8 ways, for example, as 83503044 + 415181376 = 9138^2 + 20376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 122010 + ... + 126030.

It is an arithmetic number, because the mean of its divisors is an integer number (11529063).

Almost surely, 2498684420 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 498684420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830092536).

498684420 is an abundant number, since it is smaller than the sum of its proper divisors (1161500652).

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

498684420 is a wasteful number, since it uses less digits than its factorization.

498684420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 498684420 is about 22331.2431360191. The cubic root of 498684420 is about 793.0037968658.

The spelling of 498684420 in words is "four hundred ninety-eight million, six hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 53 60 65 78 90 106 117 130 156 159 180 195 212 234 260 265 318 390 468 477 530 585 636 689 780 795 954 1060 1170 1378 1590 1908 2067 2340 2385 2756 3180 3445 4021 4134 4770 6201 6890 8042 8268 9540 10335 12063 12402 13780 16084 20105 20670 24126 24804 31005 36189 40210 41340 48252 52273 60315 62010 72378 80420 104546 120630 124020 144756 156819 180945 209092 213113 241260 261365 313638 361890 426226 470457 522730 627276 639339 723780 784095 852452 940914 1045460 1065565 1278678 1568190 1881828 1918017 2131130 2352285 2557356 2770469 3136380 3196695 3836034 4262260 4704570 5540938 6393390 7672068 8311407 9409140 9590085 11081876 12786780 13852345 16622814 19180170 24934221 27704690 33245628 38360340 41557035 49868442 55409380 83114070 99736884 124671105 166228140 249342210 498684420