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493064 = 231113431
BaseRepresentation
bin1111000011000001000
3221001100122
41320120020
5111234224
614322412
74122335
oct1703010
9831318
10493064
113074a0
121b9408
13143570
14cb98c
159b15e
hex78608

493064 has 32 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 206400.

The previous prime is 493049. The next prime is 493067. The reversal of 493064 is 460394.

493064 is nontrivially palindromic in base 3.

493064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4930642 = 486224216192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (493067) by changing a digit.

493064 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2493064 is an apocalyptic number.

493064 is a gapful number since it is divisible by the number (44) 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 493064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

493064 is an abundant number, since it is smaller than the sum of its proper divisors (595576).

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

493064 is a wasteful number, since it uses less digits than its factorization.

493064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 493064 is about 702.1851607660. The cubic root of 493064 is about 79.0013352335.

It can be divided in two parts, 4930 and 64, that added together give a palindrome (4994).

The spelling of 493064 in words is "four hundred ninety-three thousand, sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 431 572 862 1144 1724 3448 4741 5603 9482 11206 18964 22412 37928 44824 61633 123266 246532 493064