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57322720 = 25571331127
BaseRepresentation
bin1101101010101…
…0110011100000
310222212021222201
43122222303200
5104133311340
65404342544
71264143430
oct332526340
9128767881
1057322720
112a3a2454
1217244a54
13bb50490
1478822c0
15507479a
hex36aace0

57322720 has 192 divisors, whose sum is σ = 173408256. Its totient is φ = 17418240.

The previous prime is 57322711. The next prime is 57322723. The reversal of 57322720 is 2722375.

57322720 is nontrivially palindromic in base 3.

57322720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57322723) 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 31 ways as a sum of consecutive naturals, for example, 451297 + ... + 451423.

It is an arithmetic number, because the mean of its divisors is an integer number (903168).

Almost surely, 257322720 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 57322720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86704128).

57322720 is an abundant number, since it is smaller than the sum of its proper divisors (116085536).

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

57322720 is a wasteful number, since it uses less digits than its factorization.

57322720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 57322720 is about 7571.1769230418. The cubic root of 57322720 is about 385.5750556340.

The spelling of 57322720 in words is "fifty-seven million, three hundred twenty-two thousand, seven hundred twenty".