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53319296 = 27715867
BaseRepresentation
bin1100101101100…
…1011010000000
310201022220022202
43023121122000
5102122204141
65142452332
71215130562
oct313313200
9121286282
1053319296
1128108638
1215a340a8
13b07b1a4
14711d332
154a3349b
hex32d9680

53319296 has 32 divisors (see below), whose sum is σ = 107736480. Its totient is φ = 26279680.

The previous prime is 53319281. The next prime is 53319319. The reversal of 53319296 is 69291335.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6155 + ... + 12021.

It is an arithmetic number, because the mean of its divisors is an integer number (3366765).

Almost surely, 253319296 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 53319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53868240).

53319296 is an abundant number, since it is smaller than the sum of its proper divisors (54417184).

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

53319296 is an equidigital number, since it uses as much as digits as its factorization.

53319296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5940 counting only the distinct ones).

The product of its digits is 43740, while the sum is 38.

The square root of 53319296 is about 7302.0062996412. The cubic root of 53319296 is about 376.3813845636.

The spelling of 53319296 in words is "fifty-three million, three hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 5867 9088 11734 23468 46936 93872 187744 375488 416557 750976 833114 1666228 3332456 6664912 13329824 26659648 53319296