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57088 = 28223
BaseRepresentation
bin1101111100000000
32220022101
431330000
53311323
61120144
7325303
oct157400
986271
1057088
1139989
1229054
131cca5
1416b3a
1511dad
hexdf00

57088 has 18 divisors (see below), whose sum is σ = 114464. Its totient is φ = 28416.

The previous prime is 57077. The next prime is 57089. The reversal of 57088 is 88075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 145 + ... + 367.

257088 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 57088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57232).

57088 is an abundant number, since it is smaller than the sum of its proper divisors (57376).

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

57088 is an equidigital number, since it uses as much as digits as its factorization.

57088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 57088 is about 238.9309523691. The cubic root of 57088 is about 38.5048062814.

The spelling of 57088 in words is "fifty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 223 256 446 892 1784 3568 7136 14272 28544 57088