Search a number
-
+
59388 = 22372101
BaseRepresentation
bin1110011111111100
310000110120
432133330
53400023
61134540
7335100
oct163774
9100416
1059388
114068a
122a450
1321054
1417900
15128e3
hexe7fc

59388 has 36 divisors (see below), whose sum is σ = 162792. Its totient is φ = 16800.

The previous prime is 59387. The next prime is 59393. The reversal of 59388 is 88395.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (4522).

259388 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 59388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81396).

59388 is an abundant number, since it is smaller than the sum of its proper divisors (103404).

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

59388 is a wasteful number, since it uses less digits than its factorization.

59388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 59388 is about 243.6965325974. The cubic root of 59388 is about 39.0151157711.

The spelling of 59388 in words is "fifty-nine thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 101 147 196 202 294 303 404 588 606 707 1212 1414 2121 2828 4242 4949 8484 9898 14847 19796 29694 59388