Search a number
-
+
492919344 = 24343112269
BaseRepresentation
bin11101011000010…
…101101000110000
31021100111220020000
4131120111220300
52002141404334
6120524550000
715133513431
oct3530255060
91240456200
10492919344
11233270665
121190b2300
137b176268
1449671488
152d41a299
hex1d615a30

492919344 has 100 divisors (see below), whose sum is σ = 1472792640. Its totient is φ = 158993280.

The previous prime is 492919309. The next prime is 492919367. The reversal of 492919344 is 443919294.

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

It is a self number, because there is not a number n which added to its sum of digits gives 492919344.

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 19 ways as a sum of consecutive naturals, for example, 34042 + ... + 46310.

Almost surely, 2492919344 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 492919344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736396320).

492919344 is an abundant number, since it is smaller than the sum of its proper divisors (979873296).

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

492919344 is a wasteful number, since it uses less digits than its factorization.

492919344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320 (or 12305 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 492919344 is about 22201.7869551079. The cubic root of 492919344 is about 789.9360862676.

Subtracting from 492919344 its reverse (443919294), we obtain a triangular number (49000050 = T9899).

The spelling of 492919344 in words is "four hundred ninety-two million, nine hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 4464 5022 6696 10044 12269 13392 20088 24538 36807 40176 49076 73614 98152 110421 147228 196304 220842 294456 331263 380339 441684 588912 662526 760678 883368 993789 1141017 1325052 1521356 1766736 1987578 2282034 2650104 3042712 3423051 3975156 4564068 5300208 6085424 6846102 7950312 9128136 10269153 13692204 15900624 18256272 20538306 27384408 30807459 41076612 54768816 61614918 82153224 123229836 164306448 246459672 492919344