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57438592 = 271632753
BaseRepresentation
bin1101101100011…
…1000110000000
311000002011221021
43123013012000
5104201013332
65411035224
71265135311
oct333070600
9130064837
1057438592
112a471512
121729bb14
13bb91143
1478b2608
155098c97
hex36c7180

57438592 has 32 divisors (see below), whose sum is σ = 115172280. Its totient is φ = 28532736.

The previous prime is 57438571. The next prime is 57438593. The reversal of 57438592 is 29583475.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57438593) by changing a digit.

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, 19488 + ... + 22240.

Almost surely, 257438592 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 57438592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57586140).

57438592 is an abundant number, since it is smaller than the sum of its proper divisors (57733688).

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

57438592 is a wasteful number, since it uses less digits than its factorization.

57438592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2918 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The square root of 57438592 is about 7578.8252387821. The cubic root of 57438592 is about 385.8346809219.

The spelling of 57438592 in words is "fifty-seven million, four hundred thirty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 163 326 652 1304 2608 2753 5216 5506 10432 11012 20864 22024 44048 88096 176192 352384 448739 897478 1794956 3589912 7179824 14359648 28719296 57438592