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59228 = 22131767
BaseRepresentation
bin1110011101011100
310000020122
432131130
53343403
61134112
7334451
oct163534
9100218
1059228
1140554
122a338
1320c60
1417828
1512838
hexe75c

59228 has 24 divisors (see below), whose sum is σ = 119952. Its totient is φ = 25344.

The previous prime is 59221. The next prime is 59233. The reversal of 59228 is 82295.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 59197 and 59206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (4998).

259228 is an apocalyptic number.

It is an amenable number.

59228 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976).

59228 is a wasteful number, since it uses less digits than its factorization.

59228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 99 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 59228 is about 243.3680340554. The cubic root of 59228 is about 38.9800467733.

59228 divided by its sum of digits (26) gives a triangular number (2278 = T67).

The spelling of 59228 in words is "fifty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 4 13 17 26 34 52 67 68 134 221 268 442 871 884 1139 1742 2278 3484 4556 14807 29614 59228