Search a number
-
+
498968496 = 2432131715679
BaseRepresentation
bin11101101111011…
…010011110110000
31021202220020002200
4131233122132300
52010213442441
6121302343200
715236106435
oct3557323660
91252806080
10498968496
11236722464
1211b12ab00
137c4b3740
144a3a7b8c
152dc127b6
hex1dbda7b0

498968496 has 120 divisors (see below), whose sum is σ = 1592398080. Its totient is φ = 144488448.

The previous prime is 498968489. The next prime is 498968501. The reversal of 498968496 is 694869894.

498968496 is a `hidden beast` number, since 4 + 9 + 89 + 68 + 496 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23985 + ... + 39663.

It is an arithmetic number, because the mean of its divisors is an integer number (13269984).

Almost surely, 2498968496 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 498968496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796199040).

498968496 is an abundant number, since it is smaller than the sum of its proper divisors (1093429584).

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

498968496 is a wasteful number, since it uses less digits than its factorization.

498968496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15723 (or 15714 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The square root of 498968496 is about 22337.6027361935. The cubic root of 498968496 is about 793.1543467094.

The spelling of 498968496 in words is "four hundred ninety-eight million, nine hundred sixty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15679 15912 31358 31824 47037 62716 94074 125432 141111 188148 203827 250864 266543 282222 376296 407654 533086 564444 611481 752592 799629 815308 1066172 1128888 1222962 1599258 1630616 1834443 2132344 2257776 2398887 2445924 3198516 3261232 3465059 3668886 4264688 4797774 4891848 6397032 6930118 7337772 9595548 9783696 10395177 12794064 13860236 14675544 19191096 20790354 27720472 29351088 31185531 38382192 41580708 55440944 62371062 83161416 124742124 166322832 249484248 498968496