Search a number
-
+
450424 = 23136171
BaseRepresentation
bin1101101111101111000
3211212212101
41231331320
5103403144
613353144
73554122
oct1557570
9755771
10450424
11288457
121987b4
1312a030
14ba212
158d6d4
hex6df78

450424 has 32 divisors (see below), whose sum is σ = 937440. Its totient is φ = 201600.

The previous prime is 450421. The next prime is 450431. The reversal of 450424 is 424054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6309 + ... + 6379.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2450424 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 450424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

450424 is an abundant number, since it is smaller than the sum of its proper divisors (487016).

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

450424 is a wasteful number, since it uses less digits than its factorization.

450424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 450424 is about 671.1363497830. The cubic root of 450424 is about 76.6550034768.

Adding to 450424 its reverse (424054), we get a palindrome (874478).

The spelling of 450424 in words is "four hundred fifty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 61 71 104 122 142 244 284 488 568 793 923 1586 1846 3172 3692 4331 6344 7384 8662 17324 34648 56303 112606 225212 450424