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57428 = 2272293
BaseRepresentation
bin1110000001010100
32220202222
432001110
53314203
61121512
7326300
oct160124
986688
1057428
113a168
1229298
13201a7
1416d00
1512038
hexe054

57428 has 18 divisors (see below), whose sum is σ = 117306. Its totient is φ = 24528.

The previous prime is 57427. The next prime is 57457. The reversal of 57428 is 82475.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 784 = 238^2 + 28^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57397 and 57406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57427) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (6517).

257428 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 57428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58653).

57428 is an abundant number, since it is smaller than the sum of its proper divisors (59878).

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

57428 is a wasteful number, since it uses less digits than its factorization.

57428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 57428 is about 239.6413987607. The cubic root of 57428 is about 38.5810962768.

The spelling of 57428 in words is "fifty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 293 586 1172 2051 4102 8204 14357 28714 57428