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53458688 = 28367569
BaseRepresentation
bin1100101111101…
…1011100000000
310201120222112102
43023323130000
5102141134223
65145445532
71216251143
oct313733400
9121528472
1053458688
11281a3338
1215aa08a8
13b0c977a
14715805a
154a5e928
hex32fb700

53458688 has 36 divisors (see below), whose sum is σ = 107187360. Its totient is φ = 26609664.

The previous prime is 53458679. The next prime is 53458709. The reversal of 53458688 is 88685435.

53458688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 93668 + ... + 94236.

Almost surely, 253458688 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 53458688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53593680).

53458688 is an abundant number, since it is smaller than the sum of its proper divisors (53728672).

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

53458688 is an equidigital number, since it uses as much as digits as its factorization.

53458688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 938 counting only the distinct ones).

The product of its digits is 921600, while the sum is 47.

The square root of 53458688 is about 7311.5448436018. The cubic root of 53458688 is about 376.7090889472.

The spelling of 53458688 in words is "fifty-three million, four hundred fifty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 367 569 734 1138 1468 2276 2936 4552 5872 9104 11744 18208 23488 36416 46976 72832 93952 145664 208823 417646 835292 1670584 3341168 6682336 13364672 26729344 53458688