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491420224 = 261721632
BaseRepresentation
bin11101010010100…
…111101001000000
31021020200201211001
4131102213221000
52001300421344
6120432501344
715115001011
oct3522475100
91236621731
10491420224
11232437319
121186aa854
137aa6cac9
14493a1008
152d220ed4
hex1d4a7a40

491420224 has 63 divisors (see below), whose sum is σ = 1042292937. Its totient is φ = 229837824.

The previous prime is 491420213. The next prime is 491420257. The reversal of 491420224 is 422024194.

The square root of 491420224 is 22168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 382593600 + 108826624 = 19560^2 + 10432^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 491420192 and 491420201.

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 8 ways as a sum of consecutive naturals, for example, 3014767 + ... + 3014929.

Almost surely, 2491420224 is an apocalyptic number.

491420224 is the 22168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491420224

491420224 is an abundant number, since it is smaller than the sum of its proper divisors (550872713).

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

491420224 is an equidigital number, since it uses as much as digits as its factorization.

491420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The cubic root of 491420224 is about 789.1344598300.

The spelling of 491420224 in words is "four hundred ninety-one million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 163 272 289 326 544 578 652 1088 1156 1304 2312 2608 2771 4624 5216 5542 9248 10432 11084 18496 22168 26569 44336 47107 53138 88672 94214 106276 177344 188428 212552 376856 425104 451673 753712 850208 903346 1507424 1700416 1806692 3014848 3613384 7226768 7678441 14453536 15356882 28907072 30713764 61427528 122855056 245710112 491420224