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490184464 = 247112317299
BaseRepresentation
bin11101001101111…
…001111100010000
31021011100221200011
4131031321330100
52000441400324
6120350204304
715101333140
oct3515717420
91234327604
10490184464
11231772930
121181b3694
137a7294a3
144915c920
152d079c94
hex1d379f10

490184464 has 80 divisors (see below), whose sum is σ = 1235635200. Its totient is φ = 182666880.

The previous prime is 490184417. The next prime is 490184467. The reversal of 490184464 is 464481094.

It is not an unprimeable number, because it can be changed into a prime (490184467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19687 + ... + 36985.

It is an arithmetic number, because the mean of its divisors is an integer number (15445440).

Almost surely, 2490184464 is an apocalyptic number.

490184464 is a gapful number since it is divisible by the number (44) 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 490184464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617817600).

490184464 is an abundant number, since it is smaller than the sum of its proper divisors (745450736).

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

490184464 is a wasteful number, since it uses less digits than its factorization.

490184464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17348 (or 17342 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 490184464 is about 22140.1098461593. The cubic root of 490184464 is about 788.4724335127.

The spelling of 490184464 in words is "four hundred ninety million, one hundred eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 184 253 308 322 368 506 616 644 1012 1232 1288 1771 2024 2576 3542 4048 7084 14168 17299 28336 34598 69196 121093 138392 190289 242186 276784 380578 397877 484372 761156 795754 968744 1332023 1522312 1591508 1937488 2664046 2785139 3044624 3183016 4376647 5328092 5570278 6366032 8753294 10656184 11140556 17506588 21312368 22281112 30636529 35013176 44562224 61273058 70026352 122546116 245092232 490184464