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455311312 = 242310911351
BaseRepresentation
bin11011001000110…
…111111111010000
31011201202012200221
4123020313333100
51413024430222
6113102522424
714166040141
oct3310677720
91151665627
10455311312
11214014145
12108596414
13734393a1
1444681ac8
1529e8c0c7
hex1b237fd0

455311312 has 40 divisors (see below), whose sum is σ = 929047680. Its totient is φ = 215740800.

The previous prime is 455311303. The next prime is 455311327. The reversal of 455311312 is 213113554.

It is a happy number.

It is a super-2 number, since 2×4553113122 = 414616781670322688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34437 + ... + 45787.

It is an arithmetic number, because the mean of its divisors is an integer number (23226192).

Almost surely, 2455311312 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 455311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464523840).

455311312 is an abundant number, since it is smaller than the sum of its proper divisors (473736368).

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

455311312 is a wasteful number, since it uses less digits than its factorization.

455311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11491 (or 11485 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 455311312 is about 21338.0250257609. The cubic root of 455311312 is about 769.3125432205.

Adding to 455311312 its reverse (213113554), we get a palindrome (668424866).

The spelling of 455311312 in words is "four hundred fifty-five million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 109 184 218 368 436 872 1744 2507 5014 10028 11351 20056 22702 40112 45404 90808 181616 261073 522146 1044292 1237259 2088584 2474518 4177168 4949036 9898072 19796144 28456957 56913914 113827828 227655656 455311312