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491648 = 2723167
BaseRepresentation
bin1111000000010000000
3220222102012
41320002000
5111213043
614312052
74115243
oct1700200
9828365
10491648
11306423
121b8628
13142a21
14cb25a
159aa18
hex78080

491648 has 32 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 233728.

The previous prime is 491639. The next prime is 491651. The reversal of 491648 is 846194.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (6912) is a multiple of the sum of its prime divisors (192).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 491648.

It is an unprimeable number.

491648 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2861 + ... + 3027.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2491648 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 491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

491648 is an abundant number, since it is smaller than the sum of its proper divisors (536512).

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

491648 is a wasteful number, since it uses less digits than its factorization.

491648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 491648 is about 701.1761547571. The cubic root of 491648 is about 78.9256363731.

The spelling of 491648 in words is "four hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 167 184 334 368 668 736 1336 1472 2672 2944 3841 5344 7682 10688 15364 21376 30728 61456 122912 245824 491648