Search a number
-
+
455312 = 241113199
BaseRepresentation
bin1101111001010010000
3212010120102
41233022100
5104032222
613431532
73604304
oct1571220
9763512
10455312
112910a0
1219b5a8
1312c320
14bbd04
158ed92
hex6f290

455312 has 40 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 190080.

The previous prime is 455309. The next prime is 455317. The reversal of 455312 is 213554.

455312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (455317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2189 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2455312 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 455312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

455312 is an abundant number, since it is smaller than the sum of its proper divisors (586288).

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

455312 is a wasteful number, since it uses less digits than its factorization.

455312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 455312 is about 674.7681083157. The cubic root of 455312 is about 76.9312930711.

Adding to 455312 its reverse (213554), we get a palindrome (668866).

It can be divided in two parts, 455 and 312, that added together give a palindrome (767).

The spelling of 455312 in words is "four hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 199 208 286 398 572 796 1144 1592 2189 2288 2587 3184 4378 5174 8756 10348 17512 20696 28457 35024 41392 56914 113828 227656 455312