Search a number
-
+
498592116 = 2232112176733
BaseRepresentation
bin11101101101111…
…110100101110100
31021202012002210200
4131231332211310
52010114421431
6121250320500
715232651221
oct3555764564
91252162720
10498592116
11236495700
1211ab89130
137c3b1329
144a30a948
152db8aee6
hex1db7e974

498592116 has 108 divisors (see below), whose sum is σ = 1467028836. Its totient is φ = 142179840.

The previous prime is 498592063. The next prime is 498592123. The reversal of 498592116 is 611295894.

498592116 is a `hidden beast` number, since 49 + 8 + 592 + 1 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 460102500 + 38489616 = 21450^2 + 6204^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70686 + ... + 77418.

Almost surely, 2498592116 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 498592116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733514418).

498592116 is an abundant number, since it is smaller than the sum of its proper divisors (968436720).

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

498592116 is a wasteful number, since it uses less digits than its factorization.

498592116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6766 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 498592116 is about 22329.1763394891. The cubic root of 498592116 is about 792.9548668303.

The spelling of 498592116 in words is "four hundred ninety-eight million, five hundred ninety-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1683 2057 2178 2244 3366 4114 4356 6171 6732 6733 8228 12342 13466 18513 20199 24684 26932 37026 40398 60597 74052 74063 80796 114461 121194 148126 222189 228922 242388 296252 343383 444378 457844 666567 686766 814693 888756 1030149 1259071 1333134 1373532 1629386 2060298 2444079 2518142 2666268 3258772 3777213 4120596 4888158 5036284 7332237 7554426 9776316 11331639 13849781 14664474 15108852 22663278 27699562 29328948 41549343 45326556 55399124 83098686 124648029 166197372 249296058 498592116