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59292 = 223561
BaseRepresentation
bin1110011110011100
310000100000
432132130
53344132
61134300
7334602
oct163634
9100300
1059292
1140602
122a390
1320cac
1417872
151287c
hexe79c

59292 has 36 divisors (see below), whose sum is σ = 157976. Its totient is φ = 19440.

The previous prime is 59281. The next prime is 59333. The reversal of 59292 is 29295.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

59292 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 11 ways as a sum of consecutive naturals, for example, 942 + ... + 1002.

259292 is an apocalyptic number.

It is a pronic number, being equal to 243×244.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78988).

59292 is an abundant number, since it is smaller than the sum of its proper divisors (98684).

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

59292 is a wasteful number, since it uses less digits than its factorization.

59292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 59292 is about 243.4994866524. The cubic root of 59292 is about 38.9940819422.

The spelling of 59292 in words is "fifty-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 732 972 1098 1647 2196 3294 4941 6588 9882 14823 19764 29646 59292