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491827072 = 27111632143
BaseRepresentation
bin11101010100001…
…010111110000000
31021021110101220111
4131110022332000
52001401431242
6120445321104
715121314112
oct3524127600
91237411814
10491827072
11232694a60
12118866194
137ab83049
14494693b2
152d2a1817
hex1d50af80

491827072 has 64 divisors (see below), whose sum is σ = 1075944960. Its totient is φ = 222082560.

The previous prime is 491827067. The next prime is 491827087. The reversal of 491827072 is 270728194.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 228433 + ... + 230575.

It is an arithmetic number, because the mean of its divisors is an integer number (16811640).

Almost surely, 2491827072 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 491827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537972480).

491827072 is an abundant number, since it is smaller than the sum of its proper divisors (584117888).

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

491827072 is a wasteful number, since it uses less digits than its factorization.

491827072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 491827072 is about 22177.1745720685. The cubic root of 491827072 is about 789.3521752056.

The spelling of 491827072 in words is "four hundred ninety-one million, eight hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 163 176 326 352 652 704 1304 1408 1793 2143 2608 3586 4286 5216 7172 8572 10432 14344 17144 20864 23573 28688 34288 47146 57376 68576 94292 114752 137152 188584 229504 274304 349309 377168 698618 754336 1397236 1508672 2794472 3017344 3842399 5588944 7684798 11177888 15369596 22355776 30739192 44711552 61478384 122956768 245913536 491827072