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494592 = 2103723
BaseRepresentation
bin1111000110000000000
3221010110020
41320300000
5111311332
614333440
74126650
oct1706000
9833406
10494592
1130865a
121ba280
13144177
14cc360
159b82c
hex78c00

494592 has 88 divisors (see below), whose sum is σ = 1572096. Its totient is φ = 135168.

The previous prime is 494591. The next prime is 494609. The reversal of 494592 is 295494.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 494592.

It is not an unprimeable number, because it can be changed into a prime (494591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21493 + ... + 21515.

494592 is a Friedman number, since it can be written as (492-9)*4^5, using all its digits and the basic arithmetic operations.

2494592 is an apocalyptic number.

494592 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 494592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786048).

494592 is an abundant number, since it is smaller than the sum of its proper divisors (1077504).

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

494592 is a wasteful number, since it uses less digits than its factorization.

494592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 35 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 494592 is about 703.2723512267. The cubic root of 494592 is about 79.0828591718.

The spelling of 494592 in words is "four hundred ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 512 552 644 672 736 768 896 966 1024 1104 1288 1344 1472 1536 1792 1932 2208 2576 2688 2944 3072 3584 3864 4416 5152 5376 5888 7168 7728 8832 10304 10752 11776 15456 17664 20608 21504 23552 30912 35328 41216 61824 70656 82432 123648 164864 247296 494592