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491088 = 24313787
BaseRepresentation
bin1110111111001010000
3220221122110
41313321100
5111203323
614305320
74113513
oct1677120
9827573
10491088
11305a64
121b8240
131426b0
14cad7a
159a793
hex77e50

491088 has 40 divisors (see below), whose sum is σ = 1367968. Its totient is φ = 150912.

The previous prime is 491083. The next prime is 491129. The reversal of 491088 is 880194.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 491088.

It is not an unprimeable number, because it can be changed into a prime (491081) by changing a digit.

491088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 1017.

2491088 is an apocalyptic number.

491088 is a gapful number since it is divisible by the number (48) 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 491088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683984).

491088 is an abundant number, since it is smaller than the sum of its proper divisors (876880).

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

491088 is a wasteful number, since it uses less digits than its factorization.

491088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 491088 is about 700.7767119418. The cubic root of 491088 is about 78.8956588634.

The spelling of 491088 in words is "four hundred ninety-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 787 1574 2361 3148 4722 6296 9444 10231 12592 18888 20462 30693 37776 40924 61386 81848 122772 163696 245544 491088