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495432 = 23327983
BaseRepresentation
bin1111000111101001000
3221011121100
41320331020
5111323212
614341400
74132260
oct1707510
9834540
10495432
11309253
121ba860
13144672
14cc7a0
159bbdc
hex78f48

495432 has 48 divisors (see below), whose sum is σ = 1535040. Its totient is φ = 141408.

The previous prime is 495421. The next prime is 495433. The reversal of 495432 is 234594.

It is a junction number, because it is equal to n+sod(n) for n = 495396 and 495405.

It is not an unprimeable number, because it can be changed into a prime (495433) by changing a digit.

495432 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 11 ways as a sum of consecutive naturals, for example, 13 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (31980).

2495432 is an apocalyptic number.

495432 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 495432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767520).

495432 is an abundant number, since it is smaller than the sum of its proper divisors (1039608).

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

495432 is a wasteful number, since it uses less digits than its factorization.

495432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 995 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 495432 is about 703.8693060505. The cubic root of 495432 is about 79.1276044904.

The spelling of 495432 in words is "four hundred ninety-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 983 1966 2949 3932 5898 6881 7864 8847 11796 13762 17694 20643 23592 27524 35388 41286 55048 61929 70776 82572 123858 165144 247716 495432