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57384256 = 2619411151
BaseRepresentation
bin1101101011100…
…1110101000000
310222222102101211
43122321311000
5104142244011
65405535504
71264521016
oct332716500
9128872354
1057384256
112a434706
1217274594
13bb724a7
14789a8b6
155087b21
hex36b9d40

57384256 has 56 divisors (see below), whose sum is σ = 122895360. Its totient is φ = 26496000.

The previous prime is 57384253. The next prime is 57384277. The reversal of 57384256 is 65248375.

57384256 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 not an unprimeable number, because it can be changed into a prime (57384251) 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 7 ways as a sum of consecutive naturals, for example, 49281 + ... + 50431.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 257384256 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 57384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

57384256 is an abundant number, since it is smaller than the sum of its proper divisors (65511104).

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

57384256 is a wasteful number, since it uses less digits than its factorization.

57384256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1213 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The square root of 57384256 is about 7575.2396661756. The cubic root of 57384256 is about 385.7129780346.

The spelling of 57384256 in words is "fifty-seven million, three hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 152 164 304 328 608 656 779 1151 1216 1312 1558 2302 2624 3116 4604 6232 9208 12464 18416 21869 24928 36832 43738 47191 49856 73664 87476 94382 174952 188764 349904 377528 699808 755056 896629 1399616 1510112 1793258 3020224 3586516 7173032 14346064 28692128 57384256