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53311248 = 2432370217
BaseRepresentation
bin1100101101011…
…1011100010000
310201022111021200
43023113130100
5102121424443
65142351200
71215065244
oct313273420
9121274250
1053311248
1128102591
1215a2b500
13b077623
14711a424
154a30dd3
hex32d7710

53311248 has 30 divisors (see below), whose sum is σ = 149197854. Its totient is φ = 17770368.

The previous prime is 53311241. The next prime is 53311259. The reversal of 53311248 is 84211335.

It is a happy number.

53311248 is a `hidden beast` number, since 533 + 1 + 124 + 8 = 666.

53311248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32626944 + 20684304 = 5712^2 + 4548^2 .

It is not an unprimeable number, because it can be changed into a prime (53311241) 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 5 ways as a sum of consecutive naturals, for example, 184965 + ... + 185252.

Almost surely, 253311248 is an apocalyptic number.

It is an amenable number.

53311248 is an abundant number, since it is smaller than the sum of its proper divisors (95886606).

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

53311248 is a wasteful number, since it uses less digits than its factorization.

53311248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370231 (or 370222 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 53311248 is about 7301.4551974247. The cubic root of 53311248 is about 376.3624466429.

It can be divided in two parts, 533 and 11248, that added together give a triangular number (11781 = T153).

The spelling of 53311248 in words is "fifty-three million, three hundred eleven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 370217 740434 1110651 1480868 2221302 2961736 3331953 4442604 5923472 6663906 8885208 13327812 17770416 26655624 53311248