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494212400 = 245211210211
BaseRepresentation
bin11101011101010…
…001010100110000
31021102221120221222
4131131101110300
52003004244100
6121012404212
715150510323
oct3535212460
91242846858
10494212400
11233a74100
12119616668
137b509996
14498ca7ba
152d5c3485
hex1d751530

494212400 has 90 divisors (see below), whose sum is σ = 1305226356. Its totient is φ = 179696000.

The previous prime is 494212361. The next prime is 494212417. The reversal of 494212400 is 4212494.

It is a self number, because there is not a number n which added to its sum of digits gives 494212400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43295 + ... + 53505.

Almost surely, 2494212400 is an apocalyptic number.

494212400 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 494212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652613178).

494212400 is an abundant number, since it is smaller than the sum of its proper divisors (811013956).

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

494212400 is a wasteful number, since it uses less digits than its factorization.

494212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10251 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 494212400 is about 22230.8884212935. Note that the first 3 decimals coincide. The cubic root of 494212400 is about 790.6262192798.

Adding to 494212400 its reverse (4212494), we get a palindrome (498424894).

The spelling of 494212400 in words is "four hundred ninety-four million, two hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 10211 12100 20422 24200 40844 48400 51055 81688 102110 112321 163376 204220 224642 255275 408440 449284 510550 561605 816880 898568 1021100 1123210 1235531 1797136 2042200 2246420 2471062 2808025 4084400 4492840 4942124 5616050 6177655 8985680 9884248 11232100 12355310 19768496 22464200 24710620 30888275 44928400 49421240 61776550 98842480 123553100 247106200 494212400