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53441856 = 263413261
BaseRepresentation
bin1100101111011…
…1010101000000
310201120010110000
43023313111000
5102140114411
65145240000
71216151106
oct313672500
9121503400
1053441856
1128191726
1215a93000
13b0c1c00
147151c76
154a59956
hex32f7540

53441856 has 210 divisors, whose sum is σ = 174353982. Its totient is φ = 16174080.

The previous prime is 53441849. The next prime is 53441891. The reversal of 53441856 is 65814435.

It is a happy number.

53441856 is a `hidden beast` number, since 534 + 41 + 85 + 6 = 666.

53441856 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 3 ways, for example, as 4665600 + 48776256 = 2160^2 + 6984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53441856.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 876066 + ... + 876126.

Almost surely, 253441856 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 53441856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87176991).

53441856 is an abundant number, since it is smaller than the sum of its proper divisors (120912126).

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

53441856 is a wasteful number, since it uses less digits than its factorization.

53441856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 53441856 is about 7310.3936966486. The cubic root of 53441856 is about 376.6695479283.

The spelling of 53441856 in words is "fifty-three million, four hundred forty-one thousand, eight hundred fifty-six".