Search a number
-
+
492536 = 231129193
BaseRepresentation
bin1111000001111111000
3221000122002
41320033320
5111230121
614320132
74120652
oct1701770
9830562
10492536
11307060
121b9048
13143255
14cb6d2
159ae0b
hex783f8

492536 has 32 divisors (see below), whose sum is σ = 1047600. Its totient is φ = 215040.

The previous prime is 492523. The next prime is 492551. The reversal of 492536 is 635294.

It is a super-2 number, since 2×4925362 = 485183422592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 492499 and 492508.

It is a congruent number.

It is an unprimeable number.

492536 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, 2456 + ... + 2648.

2492536 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 492536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523800).

492536 is an abundant number, since it is smaller than the sum of its proper divisors (555064).

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

492536 is a wasteful number, since it uses less digits than its factorization.

492536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 492536 is about 701.8090908502. The cubic root of 492536 is about 78.9731255060.

The spelling of 492536 in words is "four hundred ninety-two thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 193 232 319 386 638 772 1276 1544 2123 2552 4246 5597 8492 11194 16984 22388 44776 61567 123134 246268 492536