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491363712 = 27337191069
BaseRepresentation
bin11101010010011…
…001110110000000
31021020120212022000
4131102121312000
52001242114322
6120431344000
715114344160
oct3522316600
91236525260
10491363712
112323a8914
12118682000
137aa50178
14493885a0
152d20e3ac
hex1d499d80

491363712 has 256 divisors, whose sum is σ = 1746240000. Its totient is φ = 132876288.

The previous prime is 491363683. The next prime is 491363773. The reversal of 491363712 is 217363194.

491363712 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 637 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 31 ways as a sum of consecutive naturals, for example, 459114 + ... + 460182.

It is an arithmetic number, because the mean of its divisors is an integer number (6821250).

Almost surely, 2491363712 is an apocalyptic number.

491363712 is a gapful number since it is divisible by the number (42) 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 491363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873120000).

491363712 is an abundant number, since it is smaller than the sum of its proper divisors (1254876288).

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

491363712 is a wasteful number, since it uses less digits than its factorization.

491363712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1100 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 491363712 is about 22166.7253332557. The cubic root of 491363712 is about 789.1042092258.

The spelling of 491363712 in words is "four hundred ninety-one million, three hundred sixty-three thousand, seven hundred twelve".