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495616 = 212112
BaseRepresentation
bin1111001000000000000
3221011212011
41321000000
5111324431
614342304
74132642
oct1710000
9834764
10495616
11309400
121ba994
13144784
14cc892
159bcb1
hex79000

495616 has 39 divisors (see below), whose sum is σ = 1089403. Its totient is φ = 225280.

The previous prime is 495613. The next prime is 495617. The reversal of 495616 is 616594.

495616 = T23 + T24 + ... + T143.

The square root of 495616 is 704.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (495611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 45051 + ... + 45061.

495616 is a Friedman number, since it can be written as (91+6*5)*4^6, using all its digits and the basic arithmetic operations.

2495616 is an apocalyptic number.

495616 is the 704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495616

495616 is an abundant number, since it is smaller than the sum of its proper divisors (593787).

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

495616 is an equidigital number, since it uses as much as digits as its factorization.

495616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 13 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The cubic root of 495616 is about 79.1373990920.

It can be divided in two parts, 495 and 616, that added together give a palindrome (1111).

The spelling of 495616 in words is "four hundred ninety-five thousand, six hundred sixteen".