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494131092 = 2237213127509
BaseRepresentation
bin11101011100111…
…101011110010100
31021102210110102120
4131130331132110
52002444143332
6121010535540
715150021300
oct3534753624
91242713376
10494131092
11233a19004
121195975b0
137b4ab980
14498a8d00
152d5a932c
hex1d73d794

494131092 has 144 divisors (see below), whose sum is σ = 1458616320. Its totient is φ = 129040128.

The previous prime is 494131037. The next prime is 494131093. The reversal of 494131092 is 290131494.

It is a super-3 number, since 3×4941310923 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494131093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970534 + ... + 971042.

It is an arithmetic number, because the mean of its divisors is an integer number (10129280).

Almost surely, 2494131092 is an apocalyptic number.

494131092 is a gapful number since it is divisible by the number (42) 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 494131092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729308160).

494131092 is an abundant number, since it is smaller than the sum of its proper divisors (964485228).

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

494131092 is a wasteful number, since it uses less digits than its factorization.

494131092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 494131092 is about 22229.0596292331. The cubic root of 494131092 is about 790.5828588661.

It can be divided in two parts, 49413 and 1092, that added together give a palindrome (50505).

The spelling of 494131092 in words is "four hundred ninety-four million, one hundred thirty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 127 147 156 182 196 254 273 294 364 381 508 509 546 588 637 762 889 1018 1092 1274 1524 1527 1651 1778 1911 2036 2548 2667 3054 3302 3556 3563 3822 4953 5334 6108 6223 6604 6617 7126 7644 9906 10668 10689 11557 12446 13234 14252 18669 19812 19851 21378 23114 24892 24941 26468 34671 37338 39702 42756 46228 46319 49882 64643 69342 74676 74823 79404 80899 92638 99764 129286 138684 138957 149646 161798 185276 193929 242697 258572 277914 299292 323596 324233 387858 452501 485394 555828 648466 775716 840359 905002 970788 972699 1296932 1357503 1680718 1810004 1945398 2521077 2715006 3167507 3361436 3890796 5042154 5430012 5882513 6335014 9502521 10084308 11765026 12670028 17647539 19005042 23530052 35295078 38010084 41177591 70590156 82355182 123532773 164710364 247065546 494131092