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493392 = 24319541
BaseRepresentation
bin1111000011101010000
3221001210210
41320131100
5111242032
614324120
74123314
oct1703520
9831723
10493392
11307769
121b9640
13143763
14cbb44
159b2cc
hex78750

493392 has 40 divisors (see below), whose sum is σ = 1344160. Its totient is φ = 155520.

The previous prime is 493369. The next prime is 493393. The reversal of 493392 is 293394.

493392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493393) by changing a digit.

493392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (33604).

2493392 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 493392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672080).

493392 is an abundant number, since it is smaller than the sum of its proper divisors (850768).

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

493392 is a wasteful number, since it uses less digits than its factorization.

493392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 493392 is about 702.4186785671. The cubic root of 493392 is about 79.0188493184.

The spelling of 493392 in words is "four hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 541 912 1082 1623 2164 3246 4328 6492 8656 10279 12984 20558 25968 30837 41116 61674 82232 123348 164464 246696 493392