Search a number
-
+
498098640 = 243513179391
BaseRepresentation
bin11101101100000…
…110000111010000
31021201021000212210
4131230012013100
52010003124030
6121231552120
715225524424
oct3554060720
91251230783
10498098640
11236188976
1211a98b640
137c26a830
144a21cb84
152dadebb0
hex1db061d0

498098640 has 160 divisors (see below), whose sum is σ = 1760887296. Its totient is φ = 115384320.

The previous prime is 498098581. The next prime is 498098651. The reversal of 498098640 is 46890894.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 498098640.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 48345 + ... + 57735.

Almost surely, 2498098640 is an apocalyptic number.

498098640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880443648).

498098640 is an abundant number, since it is smaller than the sum of its proper divisors (1262788656).

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

498098640 is a wasteful number, since it uses less digits than its factorization.

498098640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 498098640 is about 22318.1235770394. The cubic root of 498098640 is about 792.6931743896.

The spelling of 498098640 in words is "four hundred ninety-eight million, ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 9391 10608 13260 17680 18782 26520 28173 37564 46955 53040 56346 75128 93910 112692 122083 140865 150256 159647 187820 225384 244166 281730 319294 366249 375640 450768 478941 488332 563460 610415 638588 732498 751280 798235 957882 976664 1126920 1220830 1277176 1464996 1596470 1831245 1915764 1953328 2075411 2253840 2394705 2441660 2554352 2929992 3192940 3662490 3831528 4150822 4789410 4883320 5859984 6226233 6385880 7324980 7663056 8301644 9578820 9766640 10377055 12452466 12771760 14649960 16603288 19157640 20754110 24904932 29299920 31131165 33206576 38315280 41508220 49809864 62262330 83016440 99619728 124524660 166032880 249049320 498098640