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57148 = 22713157
BaseRepresentation
bin1101111100111100
32220101121
431330330
53312043
61120324
7325420
oct157474
986347
1057148
1139a33
12290a4
1320020
1416b80
1511ded
hexdf3c

57148 has 24 divisors (see below), whose sum is σ = 123872. Its totient is φ = 22464.

The previous prime is 57143. The next prime is 57149. The reversal of 57148 is 84175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57143) 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 7 ways as a sum of consecutive naturals, for example, 286 + ... + 442.

257148 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 57148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61936).

57148 is an abundant number, since it is smaller than the sum of its proper divisors (66724).

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

57148 is a wasteful number, since it uses less digits than its factorization.

57148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its digits is 1120, while the sum is 25.

The square root of 57148 is about 239.0564786823. The cubic root of 57148 is about 38.5182911905.

The spelling of 57148 in words is "fifty-seven thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 157 182 314 364 628 1099 2041 2198 4082 4396 8164 14287 28574 57148