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545241312 = 2532711231069
BaseRepresentation
bin100000011111111…
…011100011100000
31101222222010110200
4200133323203200
52104040210222
6130034225200
716340321550
oct4037734340
91358863420
10545241312
1125a857960
12132725200
1388c654c5
14525b1160
1532d02eac
hex207fb8e0

545241312 has 288 divisors, whose sum is σ = 2019064320. Its totient is φ = 135336960.

The previous prime is 545241311. The next prime is 545241337. The reversal of 545241312 is 213142545.

545241312 is a `hidden beast` number, since 5 + 4 + 524 + 131 + 2 = 666.

545241312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5452413122 = 594576176622962688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545241311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509514 + ... + 510582.

It is an arithmetic number, because the mean of its divisors is an integer number (7010640).

Almost surely, 2545241312 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 545241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009532160).

545241312 is an abundant number, since it is smaller than the sum of its proper divisors (1473823008).

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

545241312 is a wasteful number, since it uses less digits than its factorization.

545241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 545241312 is about 23350.4028230778. The cubic root of 545241312 is about 816.9514564906.

Adding to 545241312 its reverse (213142545), we get a palindrome (758383857).

It can be divided in two parts, 5452 and 41312, that added together give a palindrome (46764).

The spelling of 545241312 in words is "five hundred forty-five million, two hundred forty-one thousand, three hundred twelve".