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57228 = 22319251
BaseRepresentation
bin1101111110001100
32220111120
431332030
53312403
61120540
7325563
oct157614
986446
1057228
1139aa6
1229150
1320082
1416bda
1511e53
hexdf8c

57228 has 24 divisors (see below), whose sum is σ = 141120. Its totient is φ = 18000.

The previous prime is 57223. The next prime is 57241. The reversal of 57228 is 82275.

It is a junction number, because it is equal to n+sod(n) for n = 57198 and 57207.

It is not an unprimeable number, because it can be changed into a prime (57221) by changing a digit.

57228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

257228 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 57228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

57228 is an abundant number, since it is smaller than the sum of its proper divisors (83892).

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

57228 is a wasteful number, since it uses less digits than its factorization.

57228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 57228 is about 239.2237446409. The cubic root of 57228 is about 38.5362563950.

It can be divided in two parts, 57 and 228, that multiplied together give a square (12996 = 1142).

The spelling of 57228 in words is "fifty-seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 251 502 753 1004 1506 3012 4769 9538 14307 19076 28614 57228